Gorenstein weak injective modules with respect to a semidualizing bimodule
Z Gao, X Ma, T Zhao - Journal of the Korean Mathematical Society, 2018 - koreascience.kr
In this paper, we introduce the notion of C-Gorenstein weak injective modules with respect to
a semidualizing bimodule $ _SC_R $, where R and S are arbitrary associative rings. We …
a semidualizing bimodule $ _SC_R $, where R and S are arbitrary associative rings. We …
Weak AB-context for FP-injective modules with respect to semidualizing modules
J Hu, D Zhang - Journal of Algebra and Its Applications, 2013 - World Scientific
Let S and R be rings and SCR a semidualizing bimodule. We define and study GC-FP-
injective R-modules, and these modules are exactly C-Gorenstein injective R-modules …
injective R-modules, and these modules are exactly C-Gorenstein injective R-modules …
On relative counterpart of Auslander's conditions
It is now well known that the conditions used by Auslander to define the Gorenstein
projective modules on Noetherian rings are independent. Recently, Ringel and Zhang …
projective modules on Noetherian rings are independent. Recently, Ringel and Zhang …
Gorenstein injective and projective complexes with respect to a semidualizing module
C Yang, L Liang - Communications in Algebra, 2012 - Taylor & Francis
Let R be a commutative (possibly non-Noetherian) ring (in order to make things less
technical) and C a semidualizing R-module. In this article, we introduce and investigate the …
technical) and C a semidualizing R-module. In this article, we introduce and investigate the …
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 …
[PDF][PDF] X-injective and Gorenstein X-injective modules
C Selvaraj, A Umamaheswaran - Far East Journal of Mathematical …, 2014 - researchgate.net
X -INJECTIVE AND GORENSTEIN X -INJECTIVE MODULES Page 1 Far East Journal of
Mathematical Sciences (FJMS) © 2014 Pushpa Publishing House, Allahabad, India …
Mathematical Sciences (FJMS) © 2014 Pushpa Publishing House, Allahabad, India …
[PDF][PDF] Gorenstein modules under Frobenius extensions
F Kong, D Wu - Bulletin of the Korean Mathematical Society, 2020 - academia.edu
Let R⊂ S be a Frobenius extension of rings and M a left S-module and let X be a class of left
R-modules and Y a class of left S-modules. Under some conditions it is proven that M is a Y …
R-modules and Y a class of left S-modules. Under some conditions it is proven that M is a Y …
STRONGLY -GORENSTEIN INJECTIVE AND FLAT MODULES
Z Gao, Y Zhong - Rocky Mountain Journal of Mathematics, 2024 - projecteuclid.org
Let ℰ be an injectively resolving subcategory of left R-modules. We study a particular case of
ℰ-Gorenstein injective and flat modules, called strongly ℰ-Gorenstein injective and flat …
ℰ-Gorenstein injective and flat modules, called strongly ℰ-Gorenstein injective and flat …
Gorenstein transpose with respect to a semidualizing bimodule
Z Liu, X Yan - Turkish Journal of Mathematics, 2013 - journals.tubitak.gov.tr
Let S and R be rings and _SC_R be a semidualizing bimodule. We first give the definitions
of C-transpose and nC-torsionfree and give a criterion for a module A to be G_C-projective …
of C-transpose and nC-torsionfree and give a criterion for a module A to be G_C-projective …