Cohen–Macaulay Auslander algebras of skewed-gentle algebras
Cohen–Macaulay Auslander algebras of skewed-gentle algebras
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DOI：
10.1080/00927872.2016.1175601
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发表时间：
2017-02
影响因子：
0.7
通讯作者：
Xinhong Chen;Ming Lu
中科院分区：
文献类型：
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作者：
Xinhong Chen;Ming Lu
摘要对于任意斜缓代数，明确刻画了其不可分解的Gorenstein投影模，并描述了其Cohen-Macaulay Auslander代数。证明了斜缓代数始终是Gorenstein代数，它与地场的特性无关，并且斜缓代数的Cohen-Macaulay Auslander代数也是斜缓代数。
ABSTRACT For any skewed-gentle algebra, we characterize its indecomposable Gorenstein projective modules explicitly and describe its Cohen–Macaulay Auslander algebra. We prove that skewed-gentle algebras are always Gorenstein, which is independent of the characteristic of the ground field, and the Cohen–Macaulay Auslander algebras of skewed-gentle algebras are also skewed-gentle algebras.