English

Tau-tilting modules over trivial extenstions

Representation Theory 2022-02-21 v4

Abstract

We study (support) τ\tau-tilting modules over the trivial extensions of finite dimensional algebras. More precisely, we construct two classes of (support)τ\tau-tilting modules in terms of the adjoint functors which extend and generalize the results on (support) τ\tau-tilting modules over triangular matrix rings given by Gao-Huang.

Keywords

Cite

@article{arxiv.2112.00310,
  title  = {Tau-tilting modules over trivial extenstions},
  author = {Zhi-Wei Li and Xiaojin Zhang},
  journal= {arXiv preprint arXiv:2112.00310},
  year   = {2022}
}

Comments

13 Pages, to appear in International Journal of Algebra and Computation, typos are fixed, the final version

R2 v1 2026-06-24T07:59:09.990Z