τ-tilting finite triangular matrix algebras

[摘要] First, we give a new example of silting-discrete algebras. Second, one explores when the algebra of triangular matrices over a finite dimensional algebra is tau-tilting finite. In particular, we classify algebras over which triangular matrix algebras are tau-tilting finite. Finally, we investigate when a triangular matrix algebra is silting-discrete. (C) 2021 Elsevier B.V. All rights reserved.

[发布日期] 2021-12-01

[关键词] Silting object;Silting-discrete;tau-tilting finite;Triangular matrix algebra