τ-Rigid Modules for Algebras with Radical Square Zero

• 作者: Xiaojin Zhang
• 来源期刊: 代数集刊（英文版）
• 年，卷（期）: 2021,（1）
• 页码范围: 91-104
• 页数: 14页
• 语种: 英文
• DOI: 10.1142/S1005386721000092

摘要

For a radical square zero algebra A and an indecomposable right A-module M,when A is Gorenstein of finite representation type or τM is τ-rigid,M is τ-rigid if and only if the first two projective terms of a minimal projective resolution of M have no non-zero direct summands in common.In particular,we determine all τ-tilting modules for Nakayama algebras with radical square zero.