Gorenstein silting modules and Gorenstein projective modules

N Gao, J Ma, CH Zhang - arXiv preprint arXiv:2209.00520, 2022 - arxiv.org
(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 …

Gorenstein Weak n-Silting Modules and Weak n-Star Modules

Q Yuan, H Yao - Bulletin of the Iranian Mathematical Society, 2023 - Springer
As generalizations of silting modules and star modules, respectively, the notions and basic
properties of Gorenstein weak n-silting and weak n-star modules are given. We mainly show …

Silting complexes and Gorenstein projective modules

N Gao, J Ma, C Zhang - arXiv preprint arXiv:2110.12161, 2021 - arxiv.org
We introduce Gorenstein silting modules (resp. complexes), and give the relation with the
usual silting modules (resp. complexes). We show that Gorenstein silting modules are the …

[PDF][PDF] RELATIVE RIGID MODULES AND GORENSTEIN SILTING MODULES

NAN GAO, CHIH ZHANG, J MA - arXiv preprint arXiv:2110.12161, 2021 - academia.edu
In the paper, we introduce the relative rigid module for an algebra of finite CM-type, and the
Gorenstein silting module for a Noetherian ring with the property that the category of …

Gorenstein projective objects and recollements of Abelian categories

P Zhang, Q Shu, D Liu - arXiv preprint arXiv:2205.09260, 2022 - arxiv.org
In this paper, we study the relationship of Gorenstein projective objects among three Abelian
categories in a recollement. As an application, we introduce the relation of $ n $-Gorenstein …