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 …

n-Strongly Gorenstein Graded Modules

Z Gao, J Peng - Czechoslovak Mathematical Journal, 2019 - Springer
Let R be a graded ring and n⩾ 1 an integer. We introduce and study n-strongly Gorenstein
gr-projective, gr-injective and gr-flat modules. Some examples are given to show that n …

Strongly Gorenstein graded modules

L Mao - Frontiers of Mathematics in China, 2017 - Springer
Strongly Gorenstein graded modules Page 1 Front. Math. China 2017, 12(1): 157–176 DOI
10.1007/s11464-016-0595-y Strongly Gorenstein graded modules Lixin MAO Department of …

Gorenstein gr-flat modules

MJ Asensio, JA López Ramos… - Communications in …, 1998 - Taylor & Francis
The theory of Gorenstein injective and projective modules start, ed in [4] as an st, udy of
homology for Gorenstein rings, ie, rings which are noetherian on both sides and with finite …

Ding-graded modules and gorenstein gr-flat modules

L Mao - Glasgow Mathematical Journal, 2018 - cambridge.org
Let R be a graded ring. We introduce the concepts of Ding gr-injective and Ding gr-
projective R-modules, which are the graded analogues of Ding injective and Ding projective …

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 …

Covers and envelopes over gr-Gorenstein rings

MJ Asensio, JA López-Ramos, B Torrecillas - Journal of Algebra, 1999 - Elsevier
Covers and Envelopes over gr-Gorenstein Rings Page 1 Ž . Journal of Algebra 215, 437459
1999 Article ID jabr.1998.7722, available online at http:rrwww.idealibrary.com on Covers and …

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 …

Relative FP-gr-injective and gr-flat modules

T Zhao, Z Gao, Z Huang - International Journal of Algebra and …, 2018 - World Scientific
Let n≥ 1 be an integer. We introduce the notions of n-FP-gr-injective and n-gr-flat modules.
Then we investigate the properties of these modules by using the properties of special …

Coherent rings and Gorenstein flat character modules

Y Yang, X Yan, G Dai - Communications in Algebra, 2021 - Taylor & Francis
A module is called a Gorenstein flat character module if its character module is Gorenstein
flat. We give some characterizations of Gorenstein flat character modules and explore the …