翻訳と辞書
Words near each other
・ Differential equation
・ Differential Equations (journal)
・ Differential equations of addition
・ Differential evolution
・ Differential extraction
・ Differential fault analysis
・ Differential form
・ Differential gain
・ Differential Galois theory
・ Differential game
・ Differential games with random time horizon
・ Differential geometry
・ Differential geometry of curves
・ Differential geometry of surfaces
・ Differential GPS
Differential graded algebra
・ Differential graded category
・ Differential graded Lie algebra
・ Differential graded scheme
・ Differential grasshopper
・ Differential group delay
・ Differential heat treatment
・ Differential ideal
・ Differential inclusion
・ Differential inheritance
・ Differential interference contrast microscopy
・ Differential invariant
・ Differential item functioning
・ Differential Manchester encoding
・ Differential mobility detector


Dictionary Lists
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\colon A \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.