τ-tilting modules over trivial extensions

被引：3

作者：

Li, Zhi-Wei ^{[1
]}

Zhang, Xiaojin ^{[1
]}

机构：

[1] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2022年 / 32卷 / 03期

关键词：

Support tau-tilting module; trivial extension; tau-rigid module; triangular matrix ring; ALGEBRAS;

D O I：

10.1142/S0218196722500278

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study (support) tau-tilting modules over the trivial extensions of finite-dimensional algebras. More precisely, we construct two classes of (support)tau-tilting modules in terms of the adjoint functors which extend and generalize the results on (support) tau-tilting modules over triangular matrix rings given by Gao-Huang.

引用

页码：617 / 628

页数：12

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