翻訳と辞書 Words near each other ・ Andy Barlow (footballer) ・ Andy Barlow (producer) ・ Andy Barnes ・ Andy Barr ・ Andy Barr (Irish politician) ・ Andy Barr (U.S. politician) ・ Andy Barrett ・ Andy Barrie ・ Andy Barron ・ Andy Barter ・ Andy Barth ・ Andrés Zúñiga ・ Andrésy ・ Andrézieux-Bouthéon ・ André–Oort conjecture ・ André–Quillen cohomology ・ Andrín ・ Andrónico Luksic ・ Andrónico Luksic Abaroa ・ Andrónico Luksic Craig ・ Andrășești ・ Andrėjus Tereškinas ・ Andrův stadion ・ Andselv ・ Andslimoen ・ Andsnes ・ Andsumäe, Haanja Parish ・ Andua ・ Andualem Aragie ・ Andualem Negusse Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク André–Quillen cohomology ： ウィキペディア英語版 André–Quillen cohomology In commutative algebra, André–Quillen cohomology is a theory of cohomology for commutative rings which is closely related to the cotangent complex. The first three cohomology groups were introduced by and are sometimes called Lichtenbaum–Schlessinger functors ''T''0, ''T''1, ''T''2, and the higher groups were defined independently by Michel André and by Daniel Quillen using methods of homotopy theory. It comes with a parallel homology theory called André–Quillen homology. ==Motivation== Let ''A'' be a commutative ring, ''B'' be an ''A''-algebra, and ''M'' be a ''B''-module. André–Quillen cohomology is the derived functors of the derivation functor Der''A''(''B'', ''M''). Before the general definitions of André and Quillen, it was known for a long time that given morphisms of commutative rings and a ''C''-module ''M'', there is a three-term exact sequence of derivation modules: :$0\; \backslash to\; \backslash operatorname\_B(C,\; M)\; \backslash to\; \backslash operatorname\_A(C,\; M)\; \backslash to\; \backslash operatorname\_A(B,\; M).$ This term can be extended to a six-term exact sequence using the functor Exalcomm of extensions of commutative algebras and a nine-term exact sequence using the Lichtenbaum–Schlessinger functors. André–Quillen cohomology extends this exact sequence even further. In the zeroth degree, it is the module of derivations; in the first degree, it is Exalcomm; and in the second degree, it is the second degree Lichtenbaum–Schlessinger functor. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「André–Quillen cohomology」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.