The Gorenstein projective modules for the Nakayama algebras. I

The Gorenstein projective modules for the Nakayama algebras. I
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DOI:
10.1016/j.jalgebra.2013.03.014
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发表时间:
2012-07
期刊:
arXiv: Representation Theory
影响因子:
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通讯作者:
C. Ringel
C. Ringel
中科院分区:
其他
文献类型:
--
作者:
C. Ringel

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本文的目的是给出Gorenstein投射Λ-模范畴的结构,其中Λ是Nakayama代数.此外,我们将引入Λ的分辨率。它提供了一个快速算法,以获得Gorenstein投射Λ-模,并判定Λ是否是Gorenstein代数,是否是CM-自由的.
The aim of this paper is to outline the structure of the category of the Gorenstein projective Λ-modules, where Λ is a Nakayama algebra. In addition, we are going to introduce the resolution quiver of Λ. It provides a fast algorithm in order to obtain the Gorenstein projective Λ-modules and to decide whether Λ is a Gorenstein algebra or not, and whether it is CM-free or not.