Let (R, 𝔪) be a commutative Noetherian local ring and M an R-module which is relative
Cohen-Macaulay with respect to a proper ideal 𝔞 of R, and set n:= ht M𝔞. We prove that …

A study of quasi-Gorenstein rings - ScienceDirect Skip to main contentSkip to article Elsevier logo
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On Flat and Gorenstein Flat Dimensions of Local Cohomology Modules Page 1 Canad. Math.
Bull. Vol. (), pp. – http://dx.doi.org/. /CMB---x ©Canadian Mathematical Society On Flat and …

Let $ R $ be a commutative noetherian ring. Enochs and Huang [EH] proved that over a
Gorenstein ring of Krull dimension $ d $, every Gorenstein injective module admits a …

Let $ R $ be a commutative noetherian ring admitting a dualizing complex and let $\mathfrak
p $ be a prime ideal of $ R $. In this paper we investigate when $ G (R/\frak p) $ is an $ R …

Let (R, 𝔪) be a commutative Noetherian local ring. It is known that R is Cohen–Macaulay if
there exists either a nonzero finitely generated R-module of finite injective dimension or a …

Let R be a commutative Noetherian ring and A an Artinian R-module. We prove that if A has
finite Gorenstein injective dimension, then A possesses a Gorenstein injective envelope …

The Existence of Gorenstein Injective Envelopes 1. Introduction Page 1 Journal of
Mathematical Extension Vol. 9, No. 4, (2015), 99-105 ISSN: 1735-8299 URL: http://www.ijmex.com …

Let $(R,\mathfrak {m}) $ be a commutative Noetherian local ring, $\mathfrak {a} $ be a
proper ideal of $ R $ and $ M $ be an $ R $-complex in $\mathrm {D}(R) $. We prove that if …

arXiv:1404.3982v1 [math.AC] 15 Apr 2014 Page 1 arXiv:1404.3982v1 [math.AC] 15 Apr
2014 ON (GORENSTEIN) INJECTIVE AND (GORENSTEIN) FLAT DIMENSIONS OF RIGHT …