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...

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...

Noetherian induction. It has many applications, including the proof of generic flatness and the proof that higher direct images of coherent sheaves under proper...

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...

three lists of generic and genericized trademarks are: marks that were originally legally protected trademarks, but have been genericized and have lost...

Flagstone (flag) is a generic flat stone, sometimes cut in regular rectangular or square shape and usually used for paving slabs or walkways, patios, flooring...

place of one, the singular impersonal pronoun, in colloquial speech. The generic you is primarily a colloquial substitute for one. For instance, "Brushing...

Koszul complex Spectrum of a ring Zariski topology Kähler differential Generic flatness Irrelevant ideal Locally ringed space Coherent sheaf Invertible sheaf...

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...

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...

Duluth News Tribune. Retrieved 2021-02-17. {{cite web}}: |first= has generic name (help)CS1 maint: numeric names: authors list (link) "Sons of Santiago"...

Filters may be contained in cartridges or canisters; there are also flexible flat and pancake-style filters (see illustrations). Filters are usually mounted...

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...

August 2018. {{cite web}}: |first= has generic name (help) Midgley, Carol (28 June 2018). "TV review: Stath Lets Flats; The People Vs The NHS: Who Gets the...

Avalanche Press 2001 The Fast Carriers Simulations Publications, Inc. 1976 Flat Top Battleline Publications 1977 Re-released by Avalon Hill in 1981 Guadalcanal...

lights, but are not often eaten because of their green-colored flesh. The generic name Ablennes – formerly misspelled Athlennes – means ‘without mucosity’...

Ren's Thief Phoenix and Eight's Pirate Orochi continuously defeat multiple generic Beys. Shinobu suggests they all split up to cover more ground in DNA Headquarters...

moderately involute shell with a compressed trapezoidal whorl section, nearly flat ventral and lateral areas, and slight dorsal impression. The suture has a...

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...

popularly (including in myriad internet memes) for being overly minimalistic, generic, lazy, overused, and attempting to sanitize public perception of big tech...

Alamy". www.alamy.com. Retrieved 9 June 2022. {{cite web}}: |last= has generic name (help) Wikimedia Commons has media related to Kristin Scott Thomas...

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...

Relationships". HuffPost. Retrieved June 25, 2020. {{cite web}}: |first2= has generic name (help) "ShoWest Convention, USA (2014)". IMDb. Retrieved October 9...

Stock pot is a generic name for one of the most common[citation needed] types of cooking pot used worldwide. A stock pot is traditionally used to make...

recipes for products. The SECS (SEMI Equipment Communications Standard)/GEM (Generic Equipment Model) standards do all this in a defined way. Developed by the...

geometry and computational geometry, general position is a notion of genericity for a set of points, or other geometric objects. It means the general...

Sometimes music festivals and concerts also host amusement park rides. Flat rides are usually those that move their passengers on a plane generally parallel...

perspective and formal composition are absent. O'Doherty describes the flatness of Monet as eroding the line of an edge, and sees the White Cube as redefining...

ITU-T X.697 - JavaScript Object Notation Encoding Rules (JER) RFC 3641 - Generic String Encoding Rules (GSER) A Layman's Guide to a Subset of ASN.1, BER...

spaces remained the same. Tokens: Eight pewter tokens were included: A generic satellite, an Astronaut, a Shuttle (though without a vertical stabilizer)...