Gorenstein injective modules over Gorenstein rings
EE Enochs, OMG Jenda - Communications in Algebra, 1998 - Taylor & Francis
R will denote an n-Gorenstein ring, that is, R is left and right noetherian with injective
dimension at most n on either side. R module will mean a left R-module and all modules will …
dimension at most n on either side. R module will mean a left R-module and all modules will …
Gorenstein projective, injective and flat modules over trivial ring extensions
L Mao - arXiv preprint arXiv:2305.15656, 2023 - arxiv.org
We introduce the concepts of generalized compatible and cocompatible bimodules in order
to characterize Gorenstein projective, injective and flat modules over trivial ring extensions …
to characterize Gorenstein projective, injective and flat modules over trivial ring extensions …
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 …
module M is called Gorenstein FP-injective if there is an exact sequence…→ E 1→ E 0→ E …
Strongly -Gorenstein projective, injective and flat modules
N Mahdou, M Tamekkante - Acta Mathematica Universitatis …, 2018 - iam.fmph.uniba.sk
This paper generalize the idea of the authors in [3]. Namely, we define and study a particular
case of modules with Gorenstein projective, injective, and flat dimension less or equal than …
case of modules with Gorenstein projective, injective, and flat dimension less or equal than …
Strongly Gorenstein flat and Gorenstein FP-injective modules
C Yang - Turkish Journal of Mathematics, 2013 - journals.tubitak.gov.tr
In this paper, we first study the properties of strongly Gorenstein flat (resp. Gorenstein FP-
injective) modules which are special Gorenstein projective (resp. Gorenstein injective) …
injective) modules which are special Gorenstein projective (resp. Gorenstein injective) …
Ideals defining Gorenstein rings are (almost) never products
C Huneke - Proceedings of the American Mathematical Society, 2007 - JSTOR
Ideals Defining Gorenstein Rings Are (Almost) Never Products Page 1 PROCEEDINGS OF THE
AMERICAN MATHEMATICAL SOCIETY Volume 135, Number 7, July 2007, Pages 2003-2005 …
AMERICAN MATHEMATICAL SOCIETY Volume 135, Number 7, July 2007, Pages 2003-2005 …
Almost Gorenstein rings arising from fiber products
N Endo, S Goto, R Isobe - Canadian Mathematical Bulletin, 2021 - cambridge.org
The purpose of this paper is, as part of the stratification of Cohen–Macaulay rings, to
investigate the question of when the fiber products are almost Gorenstein rings. We show …
investigate the question of when the fiber products are almost Gorenstein rings. We show …
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 …
1999 Article ID jabr.1998.7722, available online at http:rrwww.idealibrary.com on Covers and …
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 …
24(9), 2963-2980 (1996) COHERENT RINGS WITH FINITE SELF-FP-INJECTIVE DIMENSION …
[PDF][PDF] Remarks on reflexive modules, covers, and envelopes
R Belshoff - Beitr. Algebra Geom, 2009 - emis.de
We present results on reflexive modules over Gorenstein rings which generalize results of
Serre and Samuel on reflexive modules over regular local rings. We characterize Gorenstein …
Serre and Samuel on reflexive modules over regular local rings. We characterize Gorenstein …