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 …

This paper is concerned with a new class of commutative Noetherian rings. Accordingly, all
the rings considered in this paper will be commutative and have multiplicative identities …

Notation. The ring A will always be commutative and noetherian, while G always denote a
finitely generated (fg) non-zero A-module. The endomorphism ring Hom^(G, G) of G will be …

Introduction notations. If an ideal & of a Gorenstein local ring R is generically a complete
intersection, one czn check by localization at a minimal prime p of height= ht (a:) that the …

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 …

Let R be a commutative ring with 1 and M an R-module. If φ: M⊗ RM→ R is an R-module
homomorphism satisfying φ (m⊗ m′)= φ (m′⊗ m) and φ (m⊗ m′) m ″= mφ (m′⊗ m ″) …

Throughout this paper, the word" ring" will mean" commutative,(associative,) Noetherian ring
with a non-zero multiplicative identity". In [9], I discussed the Cousin Complex, C (M), for a …

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 the original paper on Gorenstein rings, Bass [1] characterizes Gorenstein rings as those
commutative Noetherian local rings A which are Cohen-Macaulay and satisfy nn {A)= 1 …

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 …