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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク differential graded algebra ： ウィキペディア英語版 differential graded algebra In mathematics, in particular abstract algebra and topology, a differential graded algebra is a graded algebra with an added chain complex structure that respects the algebra structure. == Definition == A differential graded algebra (or simply DG-algebra) ''A'' is a graded algebra equipped with a map $d\backslash colon\; A\; \backslash to\; A$ which is either degree 1 (cochain complex convention) or degree $-1$ (chain complex convention) that satisfies two conditions: A differential graded augmented algebra (or simply DGA-algebra) is an augmented DG-algebra, i.e. a DG-algebra equipped with a morphism to the ground ring (the terminology is due to Henri Cartan).〔H. Cartan, Sur les groupes d'Eilenberg-Mac Lane H(Π,n), Proc. Nat. Acad. Sci. U. S. A. 40, (1954). 467–471〕 Many sources use the term ''DGAlgebra'' for a DG-algebra. 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「differential graded algebra」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.