Gorenstein --Injective and --Flat Modules with Respect to a Special Finitely Presented Module

M Amini, A Benkhadra, D Bennis - Algebra Colloquium, 2021 - World Scientific
Let R be a ring, X a class of R-modules and n≥ 1 an integer. We introduce the concepts of
Gorenstein nX-injective and nX-flat modules via special finitely presented modules. Besides …

Gorenstein n-flat modules and their covers

C Selvaraj, R Udhayakumar… - … -European Journal of …, 2014 - World Scientific
In this paper, we introduce the notion of Gorenstein n-flat modules and Gorenstein n-
absolutely pure modules. First, we prove that the direct limit of Gorenstein n-flat modules …

Relative Gorenstein n-weak injective and n-weak flat modules

M Amini, H Amzil, D Bennis - Communications in Algebra, 2023 - Taylor & Francis
Let R be a ring and n be a non-negative integer. In this paper, we introduce and study the
notions of Gorenstein n-weak injective and Gorenstein n-weak flat modules by using the …

Gorenstein FP-injective and Gorenstein flat modules

L Mao, N Ding - Journal of Algebra and Its Applications, 2008 - World Scientific
In this paper, Gorenstein FP-injective modules are introduced and studied. An R-module M
is called Gorenstein FP-injective if there is an exact sequence⋯→ E1→ E0→ E0→ E1→⋯ of …

n-Strongly Gorenstein Projective, Injective and Flat Modules

G Zhao, Z Huang - Communications in Algebra, 2011 - Taylor & Francis
In this article, we study the relation between m-strongly Gorenstein projective (resp.,
injective) modules and n-strongly Gorenstein projective (resp., injective) modules whenever …

Coherent rings and Gorenstein FP-injective modules

Z Gao, F Wang - Communications in Algebra, 2012 - Taylor & Francis
In this article, Gorenstein FP-injective modules are introduced and investigated. A left R-
module M is called Gorenstein FP-injective if there is an exact sequence…→ E 1→ E 0→ E …

On Gorenstein FP-Injective and Gorenstein Flat Complexes

D Xin, J Chen, X Zhang - Communications in Algebra, 2013 - Taylor & Francis
In this article, the concept of Gorenstein FP-injective modules and some related known
results are generalized to Gorenstein FP-injective complexes. Moreover, some new …

n-gr-coherent rings and Gorenstein graded modules

M Amini, D Bennis, S Mamdouhi - Czechoslovak Mathematical Journal, 2022 - Springer
Let R be a graded ring and n⩾ 1 be an integer. We introduce and study the notions of
Gorenstein n-FP-gr-injective and Gorenstein n-gr-flat modules by using the notion of special …

Coherent rings with finite self-FP-injective dimension

N Ding, J Chen - Communications in algebra, 1996 - Taylor & Francis
Coherent rings with finite self-FP-injective dimension Page 1 COMMUNICATIONS IN ALGEBRA,
24(9), 2963-2980 (1996) COHERENT RINGS WITH FINITE SELF-FP-INJECTIVE DIMENSION …

n-strongly Gorenstein Projective and Injective and Flat Modules

X YANG - Chinese Quarterly Journal of Mathematics, 2014 - sxjk.magtechjournal.com
n-strongly Gorenstein Projective and Injective and Flat Modules Page 1 Chin. Quart. J. of Math.
2014, 29 (4): 553—564 n-strongly Gorenstein Projective and Injective and Flat Modules YANG …