ON RELATIVE AUSLANDER ALGEBRAS

被引：1

作者：

Asadollahi, Javad ^{[1
,2
]}

Hafezi, Rasool ^{[2
]}

机构：

[1] Univ Isfahan, Dept Math, POB 81746-73441, Esfahan, Iran

[2] Inst Res Fundamental Sci IPM, Sch Math, POB 19395-5746, Tehran, Iran

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2020年 / 148卷 / 06期

关键词：

Auslander algebras; recollements; TTF-triples; algebras of finite CM-type; CLUSTER-TILTED ALGEBRAS; QUIVER GRASSMANNIANS; SUBMODULE CATEGORIES; GORENSTEIN; FINITE; DESINGULARIZATION; REPRESENTATIONS; DIMENSION;

D O I：

10.1090/proc/14976

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we apply intermediate extension functors associated to certain recollements of functor categories to study relative Auslander algebras. In particular, we study the existence of tilting-cotilting modules over such algebras. Some applications will be provided. In particular, it will be shown that two Gorenstein algebras of G-dimension one that are of finite Cohen-Macaulay-type are Morita equivalent if and only if their Cohen-Macaulay Auslander algebras are Morita equivalent.

引用

页码：2379 / 2396

页数：18

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