τ-Tilting modules over triangular matrix artin algebras

Author:

Peng Yeyang1,Ma Xin2,Huang Zhaoyong1

Affiliation:

1. Department of Mathematics, Nanjing University, Nanjing 210093, Jiangsu Province, P. R. China

2. College of Science, Henan University of Engineering, Zhengzhou 451191, Henan Province, P. R. China

Abstract

Let [Formula: see text] and [Formula: see text] be artin algebras and [Formula: see text] the triangular matrix algebra with [Formula: see text] a finitely generated ([Formula: see text])-bimodule. We construct support [Formula: see text]-tilting modules and ([Formula: see text]-)tilting modules in [Formula: see text] from that in [Formula: see text] and [Formula: see text], and give the converse constructions under some condition.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Gluing support τ-tilting modules via symmetric ladders of height 2;Science China Mathematics;2024-04-11

2. Tilting pairs and Wakamatsu tilting subcategories over triangular matrix algebras;Georgian Mathematical Journal;2023-03-29

3. A construction of Gorenstein projective $\tau $-tilting modules;Colloquium Mathematicum;2023

4. τ-tilting modules over trivial extensions;International Journal of Algebra and Computation;2022-02-17

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