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the theorems of generic flatness and generic freeness state that under certain hypotheses, a sheaf of modules on a scheme is flat or free. They are
Generic_flatness
Scheme theory concept
called faithfully flat if it is both surjective and flat. Two basic intuitions regarding flat morphisms are: flatness is a generic property; and the failure
Flat_morphism
three lists of generic and genericized trademarks are: marks that were originally legally protected trademarks, but have been genericized and have lost
List of generic and genericized trademarks
List_of_generic_and_genericized_trademarks
Mathematical technique in algebraic geometry
Noetherian induction. It has many applications, including the proof of generic flatness and the proof that higher direct images of coherent sheaves under proper
Dévissage
Algebraic structure in ring theory
study of flatness to the case of local rings. They are often expressed by saying that flatness is a local property. The definition of a flat morphism
Flat_module
Generic flat stone usually used for paving
A flagstone, or flag, is a generic flat stone, sometimes cut in regular rectangular or square shape and usually used for paving slabs or walkways, patios
Flagstone
not require k to be uncountable. Quillen's original short proof uses generic flatness. Quillen, D. (1969). "On the endomorphism ring of a simple module over
Quillen's_lemma
Koszul complex Spectrum of a ring Zariski topology Kähler differential Generic flatness Irrelevant ideal Locally ringed space Coherent sheaf Invertible sheaf
List of algebraic geometry topics
List_of_algebraic_geometry_topics
Use of the pronoun you to refer to an unspecified person
place of one, the singular impersonal pronoun, in colloquial speech. The generic you is primarily a colloquial substitute for one. For instance, "Brushing
Generic_you
This article lists a number of common generic forms in place names in the British Isles, their meanings and some examples of their use. The study of place
List of generic forms in place names in the British Isles
List_of_generic_forms_in_place_names_in_the_British_Isles
Respirator with a rubber face seal
Filters may be contained in cartridges or canisters; there are also flexible flat and pancake-style filters (see illustrations). Filters are usually mounted
Elastomeric_respirator
Amusement ride
Bumper cars or dodgems are the generic names for a type of flat amusement ride consisting of multiple small electrically powered cars which draw power
Bumper_cars
Swiss physicist (b. 1956)
Because the original model did not address the questions of entropy and flatness, Brandenberger and his colleagues have been working on improving it. During
Robert_Brandenberger
Semiconductor equipment
recipes for products. The SECS (SEMI Equipment Communications Standard)/GEM (Generic Equipment Model) standards do all this in a defined way. Developed by the
SECS/GEM
Extinct genus of arthropods
plana derives directly from the Latin word plana, to mean "flat", relating the overall flatness of this species. Liwia is a member of the order nektaspida
Liwia
Domain at the highest level of the DNS hierarchy
domain structure as consisting of generic top-level domains and two-letter country code top-level domains. The generic domains listed at that time were
Top-level_domain
discrete valuation ring whose spectrum has one closed point and one open (generic) point. We glue these spectra together by identifying their open points
Flat_topology
Species of fish
lights, but are not often eaten because of their green-colored flesh. The generic name Ablennes – formerly misspelled Athlennes – means 'without mucosity'
Flat_needlefish
Topics referred to by the same term
body, the front of the head. Face may also refer to: Face (geometry), a flat (planar) surface that forms part of the boundary of a solid object Face (hieroglyph)
Face_(disambiguation)
British politician (born 1982)
in flats wrapped in flammable materials, and 3.6 million had fire-related defects and faced a wait of 10 years before they could sell their flat or get
Robert_Jenrick
American dark comedy drama television series
writing despite repeated challenges. Initially answering the question with a generic response, Ava changes her mind and reaffirms that comedy writing is a difficult
Hacks
Extinct family of molluscs
moderately involute shell with a compressed trapezoidal whorl section, nearly flat ventral and lateral areas, and slight dorsal impression. The suture has a
Centroceratidae
Protestant Reformation ad fundum to the bottom i.e., "bottoms up!" (during a generic toast) or "back to the basics", depending on context. ad hoc to this i
List_of_Latin_phrases_(full)
Display devices or content having horizontal resolution of approximately 2,000 pixels
2K resolution is a generic term for display devices or content having a horizontal resolution of approximately 2,000 pixels. In the movie projection industry
2K_resolution
original on April 30, 2024. Retrieved May 1, 2024. {{cite web}}: |last= has generic name (help) "Melvin b/w Come Back". Numero Group. Archived from the original
Numero_Group_discography
Concept in algebraic geometry
5, Matsumura, Commutative Ring Theory (1989). D. Gaitsgory's notes on flatness and smoothness at http://www.math.harvard.edu/~gaitsgde/Schemes_2009/BR/SmoothMaps
Smooth_scheme
Mathematical function, inverse of an exponential function
440 Hz then the note B-flat has a frequency of 466 Hz. The interval between A and B-flat is a semitone, as is the one between B-flat and B (frequency 493 Hz)
Logarithm
Family of beetles
represented on all continents except Antarctica, and is most diverse at both the generic and species levels in the Old World tropics. Silvanids generally are small
Silvanidae
were classed K 87–106, quickly recoded to KC to avoid confusion with generic flat wagons. When that traffic dried up the wagons were used interchangeably
Victorian Railways flat wagons
Victorian_Railways_flat_wagons
The same would apply to the generic she, bringing a female image to mind. She has traditionally been used as a generic pronoun when making generalizations
Gender neutrality in languages with gendered third-person pronouns
Gender_neutrality_in_languages_with_gendered_third-person_pronouns
Historic site in Queensland, Australia
and stucco infill panels. The name of the building, Syncarpia, is the generic name for Turpentine which is a type of timber used in ship building and
Julius_Street_Flats
American multinational technology company
of Cohorts File System Firebase Firebase Studio Firebase Cloud Messaging FlatBuffers Flutter Freebase Gadgets Ganeti Gears Gerrit Global Cache GLOP gRPC
Self-contained housing unit occupying part of a building
stories tall, and with outdoor parking space, while apartment is more generic and may also include luxury condominiums. In Japanese English loanwords
Apartment
System for defining and representing engineering tolerances
ISBN 978-0-7918-3192-2. "GD&T, Geometric Dimensioning and Tolerancing, GD&T, Flatness, Circularity, Flatness Tolerance, Circularity Tolerance". cobanengineering.com. Retrieved
Geometric dimensioning and tolerancing
Geometric_dimensioning_and_tolerancing
September 27, 2017. Retrieved September 27, 2017. {{cite web}}: Cite uses generic title (help) "Wayback Machine" (PDF). ocgov.net. Archived from the original
List of New York fire departments
List_of_New_York_fire_departments
Company
social media to revenue". internet RETAILER. {{cite web}}: |author= has generic name (help) "Top 500 Guide". internet RETAILER. Retrieved 19 October 2011
J&P_Cycles
names with a prefix (generic element) followed by a specific element; road names with a specific element followed by a suffix (generic element); road names
Road_names_in_Singapore
Group of standard library class templates
Collections.Generic.PriorityQueue in .NET, or std::collections::BinaryHeap in Rust. The std::flat_set<T> data structure implements a "flat set", which
Sequence_container_(C++)
original on 2016-03-21. Retrieved 2019-06-30. {{cite web}}: Cite uses generic title (help) "TCL's Panel Manufacturer CSOT Commences Production of High
List of flat panel display manufacturers
List_of_flat_panel_display_manufacturers
Foot arch deformity
the foot (rolling inwards), although the term 'flat foot' is still applicable as it is a somewhat generic term. Muscular training of the feet is helpful
Flat_feet
the length of the Food and Drug Administration's approval process for generic drugs, stated that progress was being made with the Obama Administration
Governorship_of_Charlie_Baker
2024 Indian film
construction". Onmanorama. Retrieved 1 May 2024. {{cite news}}: |author1= has generic name (help) ETimes.in (5 July 2023). "Prithviraj Sukumaran-Basil Joseph's
Guruvayoor_Ambalanadayil
American actor (born 1973)
Fructose Adventures of Annoying Orange Henry Applesauce (voice) Episode: "Generic Holiday Special" 2012 Kick Buttowski: Suburban Daredevil Larry Wilder (voice)
Jim_Parsons
1967 studio album by Vanilla Fudge
heavy metal". Louder. Retrieved June 14, 2025. {{cite web}}: |last4= has generic name (help) Collins, Paul. Vanilla Fudge [1967 - Vanilla Fudge] at AllMusic
Vanilla_Fudge_(album)
Form of recreational fishing
Duluth News Tribune. Retrieved 2021-02-17. {{cite web}}: |first= has generic name (help)CS1 maint: numeric names: authors list (link) "Sons of Santiago"
Flats_fishing
Mexican manufacturing company
PPG's flat glass unit for $750 million". U.S. Archived from the original on 2022-10-04. Retrieved 2025-11-06. {{cite news}}: |first= has generic name (help)
Vitro
Homotopy sphere Lens space Spherical 3-manifold Einstein manifold Ricci-flat manifold G2 manifold Kähler manifold Calabi–Yau manifold Hyperkähler manifold
List_of_manifolds
2026 outbreak on cruise ship
showing symptoms, and he died on board on 11 April, initially attributed to generic natural causes. The ship stopped at the British Overseas Territory of Tristan
MV Hondius hantavirus outbreak
MV_Hondius_hantavirus_outbreak
Criminal gang in Birmingham, England (1880s – 1920s)
force because of the violence. Soon, the term "Peaky Blinder" became a generic term for young street criminals in Birmingham. In 1899, an Irish police
Peaky_Blinders
Processes by which whistles make sound
A.; Kurniawan, D.; Knotts, B.D.; Novak, J.M. (2002). "Whistles with a Generic Side Branch: Production and Suppression". Journal of Sound and Vibration
Physics_of_whistles
Ethnic group native to Saint-Domingue
peoples found in Saint-Domingue: The Bambaras. Bambara was often used as a generic term for African slaves. European traders used Bambara as a term for defining
Saint-Domingue_Creoles
Western Red Winter (CWRW)/Canada Eastern Hard Red Winter (CEHRW), can be "generic" (feed) and "select" for milling varies 295/245 avg. 59.2/60.3 avg. 6.6/6
Wheat_grain_classes
Swear words in Spanish-speaking nations
[citation needed] In Latin America (except Chile), it is a commonly used generic interjection similar to "fuck!" "shit!" or "damn it!" in English. For example:
Spanish_profanity
2018 play by Lindsey Ferrentino
American Theatre. Retrieved September 20, 2019. {{cite web}}: |last= has generic name (help) Clement, Olivia (July 10, 2017). "This Ain't No Disco, Joshua
This_Flat_Earth
In algebra, module with a finite generating set
weakening an assumption to the finite case (e.g., the characterization of flatness with the Tor functor). An example of a link between finite generation and
Finitely_generated_module
Extinct subfamily of molluscs
medlicottiids. Genera of the Uddenitinae have narrow discoidal shells with narrow flat or sometimes grooved venters. Sutures are goniatitic to ceratitic with rounded
Uddenitinae
Duggan Chris Swanson vs. John James vs. Mike Duggan Generic Democrat vs. Mike Cox vs. Mike Duggan Generic Democrat vs. John James vs. Mike Duggan 2026 United
2026 Michigan gubernatorial election
2026_Michigan_gubernatorial_election
and less costly to develop biosimilar medicines, which are lower-cost “generic” alternatives to biologic drugs that treat serious and chronic diseases
Domestic policy of the second Trump administration
Domestic_policy_of_the_second_Trump_administration
Argentine filmmaker (born 1963)
Eugenie Brinkema, for instance, describes Irreversible as "ethically, generically, subjectively" disruptive: "the rape [...] is real, it is private, it
Gaspar_Noé
Aspect of photography history
was an Angénieux trademark before losing exclusive status. The original generic term is "inverted telephoto". A telephoto lens (multiple inventions, 1891)
History of the single-lens reflex camera
History_of_the_single-lens_reflex_camera
Concept in algebraic geometry
geometry and computational geometry, general position is a notion of genericity for a set of points, or other geometric objects. It means the general
General_position
2025 Indian film by Sekhar Kammula
gave 3/5 stars and wrote "While Kuberaa carefully steers away from the generic nature of commercial entertainers, the end seems like an easy way out and
Kuberaa
Species of lizard
trade. The generic name, Uroplatus, is a Latinization of two Greek words: "ourá" (οὐρά) meaning "tail" and "platys" (πλατύς) meaning "flat". Its specific
Lined_flat-tail_gecko
Social media platform owned by Meta
encourages users to make tags both specific and relevant, rather than tagging generic words like "photo", to make photographs stand out and to attract like-minded
Sometimes music festivals and concerts also host amusement park rides. Flat rides are usually those that move their passengers on a plane generally parallel
List_of_amusement_rides
Position of the body used for sexual activities
common in pornography. If one person is penetrated by two objects, it is generically called double penetration (DP). Double penetration of the vagina, anus
Sex_position
Data interface description language
ITU-T X.697 - JavaScript Object Notation Encoding Rules (JER) RFC 3641 - Generic String Encoding Rules (GSER) Karg, S (2012). "Understanding BACnet MS/TP
ASN.1
District in Tamil Nadu, India
Hindu. ISSN 0971-751X. Retrieved 18 July 2019. {{cite news}}: |author= has generic name (help) "List of Parliamentary and Assembly Constituencies" (PDF).
Tenkasi_district
American actor and producer (born 1937)
which critic John Cornelius suggests was unsurprising, considering the generic formula of the thriller. Freeman next appeared in Lucky Number Slevin (2006)
Morgan_Freeman
List of responses to the #MeToo movement
De Pauw to face stalking charges". vrtnws.be. {{cite web}}: |last= has generic name (help) Antwerpen rouwt en protesteert met stille tocht voor vermoorde
International response to the MeToo movement
International_response_to_the_MeToo_movement
the isomonodromy equations for generic Fuchsian systems. The natural interpretation of these equations is as the flatness of a natural connection on a vector
Isomonodromic_deformation
Film by Denis Villeneuve
the cultural and religious complexities of the book and opted for a more generic portrayal of people of color without specific representation from Middle
Dune_(2021_film)
Archived from the original (PDF) on March 24, 2018. {{cite web}}: Cite uses generic title (help) "Hindu Succession Act, 1956" (PDF). chanda.nic.in. Archived
Timeline of women's legal rights (other than voting) in the 20th century
Timeline_of_women's_legal_rights_(other_than_voting)_in_the_20th_century
2025 Indian film by Mudassar Aziz
today’s times, that’s enough." India Today noted "Mere Husband Ki Biwi is a generic Hindi film that checks all the boxes but doesn't necessarily impress..
Mere_Husband_Ki_Biwi
Tall African hoofed mammal
binomial name Cervus camelopardalis. Mathurin Jacques Brisson coined the generic name Giraffa in 1762. During the 1900s, various taxonomies with two or
Giraffe
States" in the third, along with the other items. The flag references were generic terms for the naval ensign that Hopkinson had designed: a flag of seven
Flag_of_the_United_States
Large cat native to Africa and India
Greek λέων léōn. The Hebrew word לָבִיא lavi may also be related. The generic name Panthera is traceable to the classical Latin word 'panthēra' and the
Lion
Renaissance art in Florence
phenomena led Fra Angelico in his mature phase to abandon indistinct, generic illumination in favour of a careful, rational rendering of light and shade
Florentine_Renaissance_art
Ancient Egyptian tomb
depicted wearing a heart amulet. The colourful vignettes depict Kha generically, showing less customisation than either noble's books. As was typical
Tomb_of_Kha_and_Merit
Garment for the lower body ending above the knee
weather". Backpacker: 37–39. Beck, Barry; Beck, Cathy (1999). Fly-fishing the flats (1st ed.). Mechanicsburg, Pa.: Stackpole Books. p. 91. ISBN 0811706265.
Shorts
British author (born 1965)
ISBN 978-1-135-89154-1. Alton, Anne Hiebert. "Playing the genre game: generic fusions of the Harry Potter series". In Heilman 2008. Applebaum, Peter
J._K._Rowling
American serial killer (1946–1989)
innocence. Other significant obstacles for law enforcement were Bundy's generic, essentially anonymous physical features, and a curious chameleon-like
Ted_Bundy
American actress and producer (born 1977)
it was picked up by Universal Pictures. Critics dismissed the film as generic and unremarkable, and it failed commercially. Chastain then took on a brief
Jessica_Chastain
Belgian television soap opera series
when characters were being admitted. For a long time, the location was a generic set without a specific name, and there were frequent changes between different
Thuis
American cartoon series and franchise
debut appearance, is a gray and white domestic shorthair cat. "Tom" is a generic name for a male cat. He is usually but not always portrayed as living a
Tom_and_Jerry
Hot tub manufacturing company
market dominance among hot tub sales, the word Jacuzzi became akin to a generic trademark in advertising and product marketing, synonymous with "hot tub"
Jacuzzi
A list of notable flat horse races which take place annually in Great Britain, under the authority of the British Horseracing Authority (BHA), including
List of British flat horse races
List_of_British_flat_horse_races
Period in Argentine cinema history
technical process but also as the arena where ideological frameworks and generic conventions were established. The institutionalization of narrative followed
Golden Age of Argentine cinema
Golden_Age_of_Argentine_cinema
Table that summarizes data from another table
raw data and can be used for decision-making. Although pivot table is a generic term, Microsoft held a trademark on the term in the United States from
Pivot_table
Gamma matrices for arbitrary Clifford algebras
in generic settings in Riemannian geometry, particularly when a spin structure can be defined. Consider a space-time of dimension d with the flat Minkowski
Higher-dimensional gamma matrices
Higher-dimensional_gamma_matrices
Russian ballet dancer, teacher and choreographer (1891–1972)
Writings on Art. Boston: G.K. Hall. pp. 455–472. {{cite book}}: |first= has generic name (help)CS1 maint: multiple names: authors list (link) See link "Unedited
Bronislava_Nijinska
Dunstan, P; Beigi, A Miran; Doak, S H; Guy, O J (September 19, 2014). "Generic epitaxial graphene biosensors for ultrasensitive detection of cancer risk
Potential applications of graphene
Potential_applications_of_graphene
defensive walls, castles, bunkers and fortified gateways. Petrary is the generic term for medieval stone throwing siege engines. "The Battering Ram - lordsandladies"
List_of_siege_engines
2026 film by Andrew Stanton
Richard Lawson of The Hollywood Reporter felt the plots being "so broad and generic" and considered "much more powerful to see really detailed, specific stories
In the Blink of an Eye (2026 film)
In_the_Blink_of_an_Eye_(2026_film)
2005 film
from its lesbian theme, Imagine Me & You can only offer more of the same generic rom-com cliches." On Metacritic, the film has a weighted average score
Imagine_Me_&_You
English rock band (1976–1980)
Their sound during their early inception as Warsaw was described as fairly generic and "undistinguished punk-inflected hard-rock". Critic Simon Reynolds observed
Joy_Division
Indian political family in Tamil Nadu
is the richest". NDTV. Retrieved 4 June 2012. {{cite news}}: |last= has generic name (help) PMO (3 September 2011). "DECLARATION OF ASSETS AND LIABILITIES
Karunanidhi_family
Greeks" in common usage. The terms "society" or "organization" as a more generic substitute is also common. Here, "old line" means that they were founded
University of Minnesota fraternities and sororities
University_of_Minnesota_fraternities_and_sororities
falling objects, debris and inclement weather. Kepi A generic worldwide military hat with a flat, circular top and visor. First seen in central Europe
List_of_hat_styles
Height/width proportion of an image
DSLRs and their non-SLR derivatives, the term APS-C has become an almost generic term. The major camera manufacturers, including Canon, Sony, and Nikon
Aspect_ratio_(image)
GENERIC FLATNESS
GENERIC FLATNESS
Female
Welsh
Medieval Welsh name, probably GENERYS means "white lady."Â
Male
English
Middle English form of Anglo-Saxon Ceneric, CENRIC means "keen power."
Male
Swedish
Swedish variant spelling of Scandinavian Henrik, HENRIC means "home-ruler."
Boy/Male
British, English
Royal
Boy/Male
German, Teutonic
Estate Ruler; Rules an Estate
Girl/Female
American, Australian, Biblical, Chinese, Christian, Greek, Hawaiian, Hebrew
Beginning; Origin
Girl/Female
French German
Of the race of women.
Biblical
beginning
Girl/Female
Australian, French, German
Of the Race of Women; White Wave
Female
English
(ΓÎνεσις) English name of Greek origin, derived from the word genesis, GENESIS means "creation, generation, origin, source," from gignesthai "to be born," which is related to genos "birth, descent, race." In the bible, this is the name of the first book of the Old Testament.
Male
German
Altered form of German Almeric, EMERIC means "work-power."
Male
German
Old German name, GOMERIC means "man-power."
Girl/Female
Indian
Biblical
Naamah can refer to a figure in , the wife of Solomon or a demon, beautiful; agreeable
Girl/Female
Shakespearean
Tragedy of King Lear' Daughter to King Lear.
Boy/Male
Scottish Welsh
Royal chieftain. Surname.
Boy/Male
Australian, Hawaiian, Hebrew
Origin
Boy/Male
Teutonic
Rules an estate.
Girl/Female
Biblical American Hebrew
Beginning.
Girl/Female
Hindu, Indian
Charming
GENERIC FLATNESS
GENERIC FLATNESS
Girl/Female
Celebrity, Hindu, Indian, Telugu, Traditional
Goddess Lakshmi; Fortunate
Boy/Male
Hindu
Celebrated or renowned, Much heard of, Famous, Pleased, Delighted, Happy, Son of Vasudeva (Brahma purana, Lord Vishnu
Boy/Male
Hindu, Indian, Tamil
Pleasing; Always Happy; Cute
Girl/Female
Tamil
Goddess Sita, Genus of a bird (Daughter of Janaka and wife of Rama)
Girl/Female
Tamil
Varunavi | வரà¯à®¨à®¾à®µà¯€
Goddess Laxmi
Boy/Male
Hindu, Indian
Sweet Ray as from God
Boy/Male
Australian, Biblical, Christian, Finnish, French, Hebrew, Swedish
The Cloud of the Lord; God was Gracious; Whom Jehovah has Graciously Given; Compassion of God
Boy/Male
Muslim/Islamic
Happier
Surname or Lastname
English
English : occupational name for a maker and repairer of wooden vessels such as barrels, tubs, buckets, casks, and vats, from Middle English couper, cowper (apparently from Middle Dutch kūper, a derivative of kūp ‘tub’, ‘container’, which was borrowed independently into English as coop). The prevalence of the surname, its cognates, and equivalents bears witness to the fact that this was one of the chief specialist trades in the Middle Ages throughout Europe. In America, the English name has absorbed some cases of like-sounding cognates and words with similar meaning in other European languages, for example Dutch Kuiper.Jewish (Ashkenazic) : Americanized form of Kupfer and Kupper (see Kuper).Dutch : occupational name for a buyer or merchant, Middle Dutch coper.
Girl/Female
Indian
Pure; Honest
GENERIC FLATNESS
GENERIC FLATNESS
GENERIC FLATNESS
GENERIC FLATNESS
GENERIC FLATNESS
a.
Not restrained or limited to a precise import; not specific; vague; indefinite; lax in signification; as, a loose and general expression.
pl.
of Postmaster-general
n.
The second law officer in the government of Great Britain; also, a similar officer under the United States government, who is associated with the attorney-general; also, the chief law officer of some of the States.
a.
Same as Genetical.
a.
Common to many, or the greatest number; widely spread; prevalent; extensive, though not universal; as, a general opinion; a general custom.
a.
Pertaining to a genus or kind; relating to a genus, as distinct from a species, or from another genus; as, a generic description; a generic difference; a generic name.
a.
Alt. of Generical
a.
Pertaining to, or derived from, the ivy (Hedera); as, hederic acid, an acid of the acetylene series.
n.
The chief officer of the post-office department of a government. In the United States the postmaster-general is a member of the cabinet.
a.
Having a relation to all; common to the whole; as, Adam, our general sire.
n.
The quality of being generic.
a.
The roll of the drum which calls the troops together; as, to beat the general.
n.
Alt. of Gentrie
a.
Relating to a genus or kind; pertaining to a whole class or order; as, a general law of animal or vegetable economy.
a.
Usual; common, on most occasions; as, his general habit or method.
a.
Comprehending many species or individuals; not special or particular; including all particulars; as, a general inference or conclusion.