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 …
The role of w-tilting modules in relative Gorenstein (co) homology
Let R be a ring, C be a left R-module and S= End R (C). When C is semidualizing, the
Auslander class AC (S) and the Bass class ℬ C (R) associated with C have been the subject …
Auslander class AC (S) and the Bass class ℬ C (R) associated with C have been the subject …
Maximal self-orthogonal modules and a new generalization of tilting modules
H Enomoto - arXiv preprint arXiv:2301.13498, 2023 - arxiv.org
We introduce a generalization of tilting modules of finite projective dimension, projectively
Wakamatsu tilting modules, which are self-orthogonal and Ext-progenerators in their Ext …
Wakamatsu tilting modules, which are self-orthogonal and Ext-progenerators in their Ext …
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 …
Auslander conditions and tilting-like cotorsion pairs
J Wang, Y Li, J Wu, J Hu - Journal of Algebra, 2023 - Elsevier
We study homological behavior of modules satisfying the Auslander condition. Assume that
AC is the class of left R-modules satisfying the Auslander condition. It is proved that each …
AC is the class of left R-modules satisfying the Auslander condition. It is proved that each …
Tilting theory for Gorenstein rings in dimension one
RO Buchweitz, O Iyama, K Yamaura - Forum of Mathematics, Sigma, 2020 - cambridge.org
TILTING THEORY FOR GORENSTEIN RINGS IN DIMENSION ONE Page 1 Forum of Mathematics,
Sigma (2020), Vol. 8, e36, 37 pages doi:10.1017/fms.2020.28 1 TILTING THEORY FOR …
Sigma (2020), Vol. 8, e36, 37 pages doi:10.1017/fms.2020.28 1 TILTING THEORY FOR …
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 …
Generalized Gorenstein modules
A Iacob - Algebra Colloquium, 2022 - World Scientific
We introduce a generalization of the Gorenstein injective modules: the Gorenstein FP n-
injective modules (denoted by GI n). They are the cycles of the exact complexes of injective …
injective modules (denoted by GI n). They are the cycles of the exact complexes of injective …
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 …