Foxby equivalence over associative rings
H Holm, D White - Journal of Mathematics of Kyoto University, 2007 - projecteuclid.org
We extend the definition of a semidualizing module to general associative rings. This
enables us to define and study Auslander and Bass classes with respect to a semidualizing …
enables us to define and study Auslander and Bass classes with respect to a semidualizing …
Cotorsion pairs associated with Auslander categories
EE Enochs, H Holm - Israel Journal of Mathematics, 2009 - Springer
COTORSION PAIRS ASSOCIATED WITH AUSLANDER CATEGORIES Page 1 ISRAEL
JOURNAL OF MATHEMATICS 174 (2009), 253–268 DOI: 10.1007/s11856-009-0113-y …
JOURNAL OF MATHEMATICS 174 (2009), 253–268 DOI: 10.1007/s11856-009-0113-y …
Semidualizing and tilting adjoint pairs, applications to comodules
The aim of this paper is to introduce the concept of right and left semidualizing adjoint pair of
functors and study its main properties. This concept generalizes the concept of …
functors and study its main properties. This concept generalizes the concept of …
Relative and Tate homology with respect to semidualizing modules
Z Di, X Zhang, Z Liu, J Chen - Journal of Algebra and Its …, 2014 - World Scientific
We introduce and investigate in this paper a kind of Tate homology of modules over a
commutative coherent ring based on Tate ℱC-resolutions, where C is a semidualizing …
commutative coherent ring based on Tate ℱC-resolutions, where C is a semidualizing …
When do Foxby classes coincide with the classes of modules of finite Gorenstein dimensions?
D Bennis, JR Garcia Rozas, L Oyonarte - 2016 - projecteuclid.org
The relation between the Auslander (resp., Bass) class and the class of modules with finite
Gorenstein projective (resp., injective) dimension is well known when these mentioned …
Gorenstein projective (resp., injective) dimension is well known when these mentioned …
Modules with cosupport and injective functors
H Holm - Algebras and Representation Theory, 2010 - Springer
Several authors have studied the filtered colimit closure \varinjlimB of a class B of finitely
presented modules. Lenzing called \varinjlimB the category of modules with support in B …
presented modules. Lenzing called \varinjlimB the category of modules with support in B …
Gorenstein and Ω-Gorenstein injective covers and flat preenvelopes
EE Enochs, OMG Jenda - Communications in Algebra®, 2005 - Taylor & Francis
Full article: GORENSTEIN AND Ω-GORENSTEIN INJECTIVE COVERS AND FLAT
PREENVELOPES Skip to Main Content Taylor and Francis Online homepage Taylor and Francis …
PREENVELOPES Skip to Main Content Taylor and Francis Online homepage Taylor and Francis …
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 …
Buchweitz's equivalences for Gorenstein flat modules with respect to semidualizing modules
J Hu, Y Geng, J Wu, H Li - Journal of Algebra and Its Applications, 2021 - World Scientific
Let R be a commutative Noetherian ring and C a semidualizing R-module. We obtain an
exact structure (ℋ C, 𝜀) and prove that the full subcategory ℋ C∩ 𝒢 ℱ C of ℋ C is a …
exact structure (ℋ C, 𝜀) and prove that the full subcategory ℋ C∩ 𝒢 ℱ C of ℋ C is a …
强Gorenstein C-平坦模
李金兰， 梁春丽 - 山东大学学报(理学版), 2017 - lxbwk.njournal.sdu.edu.cn
作为强Gorenstein 平坦模的推广ꎬ 引入了相对于半对偶化模C 的强Gorenstein 平坦模ꎬ
即强GorensteinC-平坦模ꎬ 并给出了其若干性质和等价刻画ꎬ 比如强Gorenstein C …
即强GorensteinC-平坦模ꎬ 并给出了其若干性质和等价刻画ꎬ 比如强Gorenstein C …