Gorenstein silting complexes
W Cao, J WEI - Glasgow Mathematical Journal, 2022 - cambridge.org
We introduce and study the notion of Gorenstein silting complexes, which is a generalization
of Gorenstein tilting modules in Gorenstein-derived categories. We give the equivalent …
of Gorenstein tilting modules in Gorenstein-derived categories. We give the equivalent …
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 …
usual silting modules (resp. complexes). We show that Gorenstein silting modules are the …
Relative singularity categories, Gorenstein objects and silting theory
J Wei - Journal of Pure and Applied Algebra, 2018 - Elsevier
We study singularity categories through Gorenstein objects in triangulated categories and
silting theory. Let ω be a presilting subcategory of a triangulated category T. We introduce …
silting theory. Let ω be a presilting subcategory of a triangulated category T. We introduce …
A Characterization of n-Gorenstein Tilting Comodules
Y Li, H Yao - Applied Categorical Structures, 2022 - Springer
The aim of this paper is to introduce the concept of n-Gorenstein tilting comodules and study
its main properties. This concept generalizes the notion of n-tilting comodules of finite …
its main properties. This concept generalizes the notion of n-tilting comodules of finite …
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 …
dimensional algebras of finite CM-type, partial Gorenstein silting modules are in bijection …
Infinitely generated Gorenstein tilting modules
P Moradifar, S Yassemi - Algebras and Representation Theory, 2022 - Springer
The theory of finitely generated relative (co) tilting modules has been established in the
1980s by Auslander and Solberg, and infinitely generated relative tilting modules have …
1980s by Auslander and Solberg, and infinitely generated relative tilting modules have …
ω-Gorenstein modules
J Wei - Communications in Algebra®, 2008 - Taylor & Francis
We introduce the notion of ω-Gorenstein modules, where ω is a faithfully balanced self-
orthogonal module. This gives a common generalization of both Gorenstein projective …
orthogonal module. This gives a common generalization of both Gorenstein projective …
[PDF][PDF] The Bongartz's theorem of Gorenstein cosilting complexes
H Yao, Q Yuan - 대한수학회지, 2023 - koreascience.kr
We describe the Gorenstein derived categories of Gorenstein rings via the homotopy
categories of Gorenstein injective modules. We also introduce the concept of Gorenstein …
categories of Gorenstein injective modules. We also introduce the concept of Gorenstein …
[HTML][HTML] Weak tilting modules
Y Yang, X Yan, X Zhu - Journal of Pure and Applied Algebra, 2020 - Elsevier
In this paper, weak tilting modules are introduced and investigated. We show that all tilting
modules are weak tilting modules, but the converse is not true. We prove that a module is …
modules are weak tilting modules, but the converse is not true. We prove that a module is …
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 …
properties of Gorenstein weak n-silting and weak n-star modules are given. We mainly show …