2012/11/23 by Xiaojin Zhang, Zhang, Xiaojin · 3 citations
Mathematics · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.1211.5622
In this paper, we show that for an algebra Λ with radical square zero and an indecomposable Λ-module M such that Λ is Gorenstein of finite 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 on-zero direct summands in common. We also determined all τ-tilting modules for Nakayama algebras with radical square zero. Moreover, by giving a construction theorem we show that a basic connected radical square zero algebra admitting a unique τ-tilting module is local.