Gorenstein silting modules and Gorenstein projective modules
Abstract
(Partial) Gorenstein silting modules are introduced and investigated. It is shown that for finite dimensional algebras of finite CM-type, partial Gorenstein silting modules are in bijection with {\tau}_G-rigid modules; Gorenstein silting modules are the module-theoretic counterpart of 2-term Gorenstein silting complexes; and the relation between 2-term Gorenstein silting complexes, t-structures and torsion pairs in module categories. Furthermore, the corresponding version of the classical Brenner-Butler theorem in this setting are characterised; and the upper bound of the global dimension of endomorphism algebras of 2-term Gorenstein silting complexes over an algebra A are also characterised by terms of the Gorenstein global dimension of A.
Cite
@article{arxiv.2209.00520,
title = {Gorenstein silting modules and Gorenstein projective modules},
author = {Nan Gao and Jing Ma and Chi-Heng Zhang},
journal= {arXiv preprint arXiv:2209.00520},
year = {2022}
}
Comments
22 pages. arXiv admin note: text overlap with arXiv:2110.12161