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A construction of Gorenstein projective tau-tilting modules
- Publication Year :
- 2021
-
Abstract
- We give a construction of Gorenstein projective $\tau$-tilting modules in terms of tensor products of modules. As a consequence, we give a class of non-self-injective algebras admitting non-trivial Gorenstein projective $\tau$-tilting modules. Moreover, we show that a finite dimensional algebra $\Lambda$ over an algebraically closed field is $CM$-$\tau$-tilting finite if $T_n(\Lambda)$ is $CM$-$\tau$-tilting finite which gives a partial answer to a question on $CM$-$\tau$-tilting finite algebras posed by Xie and Zhang.<br />Comment: 7 pages, to appear in Colloq. Math, some typos are fixed
- Subjects :
- Mathematics - Representation Theory
16G10, 18G25
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2109.11758
- Document Type :
- Working Paper