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.
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页码：1053 / 1075
页数：23
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