Gorenstein flat modules with respect to duality pairs
Z Wang, G Yang, R Zhu - Communications in Algebra, 2019 - Taylor & Francis
Let X be a class of left R-modules, Y be a class of right R-modules. In this article, we
introduce and study Gorenstein (X, Y)-flat modules as a common generalization of some …
introduce and study Gorenstein (X, Y)-flat modules as a common generalization of some …
[PDF][PDF] Stability of Gorenstein FI-flat modules
In this paper, we introduce the concepts of Gorenstein FI-injective and Gorenstein FI-flat
modules and we are concerned with the stability of the class of Gorenstein FI-flat modules …
modules and we are concerned with the stability of the class of Gorenstein FI-flat modules …
Existence of Covers and Envelopes of a Left Orthogonal Class and Its Right Orthogonal Class of Modules
A Umamaheswaran, R Udhayakumar… - Journal of …, 2022 - Wiley Online Library
In this paper, we investigate the notions of X⊥‐projective, X‐injective, and X‐flat modules
and give some characterizations of these modules, where X is a class of left modules. We …
and give some characterizations of these modules, where X is a class of left modules. We …
Gorenstein -injectivity on -coherent rings
F Shaveisi, M Amini, MH Bijanzadeh - Asian-European Journal of …, 2015 - World Scientific
Let T be a tilting module. In this paper, Gorenstein σ [T]-injective modules are introduced and
some of their basic properties are studied. Moreover, some characterizations of rings over …
some of their basic properties are studied. Moreover, some characterizations of rings over …
Gorenstein FI-flat (pre) covers
GORENSTEIN FI-FLAT (PRE)COVERS 1. Introduction The notions of (pre)covers and (pre)envelopes
of modules were introduced by Enoch Page 1 Gulf Journal of Mathematics Vol 3, Issue 4 (2015) …
of modules were introduced by Enoch Page 1 Gulf Journal of Mathematics Vol 3, Issue 4 (2015) …
Gorenstein n-余挠模及Gorenstein n-余挠维数
黄俊红, 张翠萍 - 华南师范大学学报(自然科学版), 2015 - journal-n.scnu.edu.cn
设R 是环, M 是左R-模, n 是一个固定的非负整数. 称M 是Gorenstein n-余挠的,
如果对任意Gorenstein n-平坦左R-模N, 有Ext_R^ 1 (N, M)= 0. 本文主要在右n-凝聚环上讨论了 …
如果对任意Gorenstein n-平坦左R-模N, 有Ext_R^ 1 (N, M)= 0. 本文主要在右n-凝聚环上讨论了 …
Stability of Gorenstein X-flat modules
C Selvaraj, A Umamaheswaran - Lobachevskii Journal of Mathematics, 2016 - Springer
In this paper we introduce the notion of Gorenstein X-flat R-module and study a kind of
stability of the class of Gorenstein X-flat R-modules. A ring R is called right GXF-closed if the …
stability of the class of Gorenstein X-flat R-modules. A ring R is called right GXF-closed if the …
Gorenstein n-FP-injective and Gorenstein n-flat complexes
C Selvaraj, R Saravanan - Bollettino dell'Unione Matematica Italiana, 2018 - Springer
In this paper, we introduce and study the notions of Gorenstein n-FP-injective and
Gorenstein n-flat complexes, which are special cases of Gorenstein FP-injective and …
Gorenstein n-flat complexes, which are special cases of Gorenstein FP-injective and …
Some results on -flat dimension of modules
R Udhayakumar, I Muchtadi-Alamsyah… - Commentationes …, 2019 - dml.cz
In this paper, we study some properties of $ G_C $-flat $ R $-modules, where $ C $ is a
semidualizing module over a commutative ring $ R $ and we investigate the relation …
semidualizing module over a commutative ring $ R $ and we investigate the relation …
Resolutions and Stability of Gorenstein Classes of Modules
Z Wang - Bulletin of the Malaysian Mathematical Sciences …, 2020 - Springer
Abstract Let XX, UU and ZZ be classes of left R-modules, WW be a class of right R-modules
and X ⊆ UX⊆ U. In this paper, we investigate the relationship between Z Z-proper (resp. Z Z …
and X ⊆ UX⊆ U. In this paper, we investigate the relationship between Z Z-proper (resp. Z Z …