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 …
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 …
[PDF][PDF] Generalized tilting modules and Frobenius extensions
D Fu, X Xu, Z Zhao - Electronic Research Archive, 2022 - aimspress.com
Let A/S be a ring extension with S commutative. We prove that ω⊗ S AA is a generalized
tilting module if ωS is a generalized tilting module. In this case, we obtain that⊥ ω-resol …
tilting module if ωS is a generalized tilting module. In this case, we obtain that⊥ ω-resol …
[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 …
Ortho-symmetric modules, Gorenstein algebras, and derived equivalences
H Chen, S Koenig - International Mathematics Research Notices, 2016 - academic.oup.com
A new homological symmetry condition is exhibited that extends and unifies several recently
defined and widely used concepts. Applications include general constructions of tilting …
defined and widely used concepts. Applications include general constructions of tilting …
Gorenstein orthogonal classes and Gorenstein weak tilting modules
L Mao - Communications in Algebra, 2021 - Taylor & Francis
Let R be a Gorenstein ring. We first study Gorenstein orthogonal classes and Gorenstein
cotorsion pairs of R-modules. Then, we introduce the concept of Gorenstein weak tilting R …
cotorsion pairs of R-modules. Then, we introduce the concept of Gorenstein weak tilting R …
Gorenstein star modules and Gorenstein tilting modules
P Zhang - Czechoslovak Mathematical Journal, 2021 - Springer
We introduce the notion of Gorenstein star modules and obtain some properties and a
characterization of them. We mainly give the relationship between n-Gorenstein star …
characterization of them. We mainly give the relationship between n-Gorenstein star …
Gorenstein cotilting and tilting modules
L Yan, W Li, B Ouyang - Communications in Algebra, 2016 - Taylor & Francis
Auslander and Solberg introduced the concepts of finitely generated cotilting and tilting
modules in relative homological algebra considering subfunctors of the Ext-functor. In this …
modules in relative homological algebra considering subfunctors of the Ext-functor. In this …
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 …
Foxby equivalences associated to strongly Gorenstein modules
W Zhang, Z Liu, X Yang - Kodai Mathematical Journal, 2018 - jstage.jst.go.jp
In order to establish the Foxby equivalences associated to strongly Gorenstein modules, we
introduce the notions of strongly WP-Gorenstein, WI-Gorenstein and WF-Gorenstein …
introduce the notions of strongly WP-Gorenstein, WI-Gorenstein and WF-Gorenstein …