Inspired in one of Auslander's characterizations of Gorenstein projective modules in [I],
Enochs and Jenda in [5] define t, he left derived functors of Horn (instead of the usual right …

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 …

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 …

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 …

In 1966, Auslander introduced the notion of the $ G $-dimension of a finitely generated
module over a Cohen-Macaulay noetherian ring and found the basic properties of these …

The object of this article is to determine when a commutative Artin local ring A is the
homomorphic image ofa Gorenstein ring t F in such a way that the kernel of the …

We prove that for a Frobenius extension, if a module over the extension ring is Gorenstein
projective, then its underlying module over the base ring is Gorenstein projective; the …

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 …

In this article we extend the notion of Gorenstein injective and projective modules to that of
complexes and characterize such complexes. We prove that over an n-Gorenstein ring every …

In this paper, we study a particular case of Gorenstein projective, injective, and flat modules,
which we call, respectively, strongly Gorenstein projective, injective, and flat modules. These …