Relative homology and representation theory III: Cotilting modules and Wedderburn correspondence

Relative homology and representation theory III: Cotilting modules and Wedderburn correspondence
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DOI:
10.1080/00927879308824719
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发表时间:
1993
影响因子:
0.7
通讯作者:
M. Auslander;Ø. Solberg
M. Auslander;Ø. Solberg
中科院分区:
数学3区
文献类型:
--
作者:
M. Auslander;Ø. Solberg

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本文的最后一个系列的三个文件研究使用相对同调代数的表示理论的阿廷代数,是致力于给一个相当明确的连接之间的相对cotilting理论介绍了在前一份文件和标准cotilting理论。读者可以参考本系列的前几篇文章[2,3],以了解本文中所用的相对同调代数和相对余倾斜模理论的基本定义和结果以及符号。我们现在描述本文的主要结果。
This paper, the last of a series of three papers studying the uses of relative homological algebra in the representation theory of artin algebras, is devoted to giving a rather explicit connection between the relative cotilting theory introduced in the previous paper and standard cotilting theory. The reader is referred to the previous papers in this series [2, 3] for basic definitions and results, as well as notations, concerning the relative homological algebra and theory of relative cotilting modules used in this paper. We now describe the main result of this paper.