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.
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页码：2379 / 2396
页数：18
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