Exact and semisimple differential graded algebras

被引：3

作者：

Aldrich, ST ^{[1
]}

Rozas, JRG

机构：

[1] St Marys Univ, Dept Math & Stat, Winona, MN 55987 USA

[2] Univ Almeria, Dept Algebra & Anal, Almeria 04120, Spain

来源：

COMMUNICATIONS IN ALGEBRA | 2002年 / 30卷 / 03期

关键词：

D O I：

10.1080/00927870209342371

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we provide a classification theorem and a structure theorem for exact differential graded algebras, and we use the classification theorem to show that a differential graded algebra A is semisimple (as a differential graded algebra) precisely when the graded algebra Z(A) is semisimple (as a graded algebra) and A is an exact complex. We also relate exact differential graded algebras with a graded version of Hochschild cohomology.

引用

页码：1053 / 1075

页数：23

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