Almost Gorenstein rings

S Goto, N Matsuoka, TT Phuong - Journal of Algebra, 2013 - Elsevier
Barucci and Fröberg (1997)[2] introduced the notion of an almost Gorenstein ring in the case
of an analytically unramified local ring (R, m). In this work we provide a framework that …

[PDF][PDF] Tensor products of complexes

EE Enochs, JR Rozas - Mathematical Journal of Okayama …, 1997 - ousar.lib.okayama-u.ac.jp
1. Preliminaries. In this note we introduce a new tensor product functor in the category of
complexes. We show that this tensor product is left adjoint to the Hom functor properly …

Homotopy equivalences induced by balanced pairs

XW Chen - Journal of Algebra, 2010 - Elsevier
We introduce the notion of balanced pair of additive subcategories in an abelian category.
We give sufficient conditions under which a balanced pair of subcategories gives rise to a …

The existence of Gorenstein flat covers

EE Enochs, OMG Jenda, JA López-Ramos - Mathematica Scandinavica, 2004 - JSTOR
THE EXISTENCE OF GORENSTEIN FLAT COVERS Page 1 MATH. SCAND. 94 (2004), 46-62
THE EXISTENCE OF GORENSTEIN FLAT COVERS EDGAR Ε. ENOCHS, OVERTOUN ΜGJENDA …

Projectively coresolved Gorenstein flat and ding projective modules

A Iacob - Communications in Algebra, 2020 - Taylor & Francis
We give necessary and sufficient conditions in order for the class of projectively coresolved
Gorenstein flat modules, PGF (respectively that of projectively coresolved Gorenstein B flat …

[HTML][HTML] Gorenstein-projective modules and symmetric recollements

P Zhang - Journal of Algebra, 2013 - Elsevier
We introduce compatible bimodules. If M is a compatible A–B-bimodule, then the Gorenstein-
projective modules over algebra Λ=(AM0B) are explicitly described; and if Λ is Gorenstein …

Symmetry in the vanishing of Ext over Gorenstein rings

C Huneke, DA Jorgensen - Mathematica Scandinavica, 2003 - JSTOR
We investigate symmetry in the vanishing of Ext for finitely generated modules over local
Gorenstein rings. In particular, we define a class of local Gorenstein rings, which we call AB …

Gorenstein homological aspects of monomorphism categories via Morita rings

N Gao, C Psaroudakis - Algebras and Representation Theory, 2017 - Springer
In this paper we construct Gorenstein-projective modules over Morita rings with zero
bimodule homomorphisms and we provide sufficient conditions for such rings to be …

Resolutions by gorenstein injective andprojective modules and modules of finite injective dimension overgorenstein rings

EE Enochs, OMG Jenda - Communications in Algebra, 1995 - Taylor & Francis
Throughout this paper, R will denote an n-Gorenstein ring, that is, R will he a left and right
nocthcrian on botlt sides and haw self-injective dime~~ sion at most n on both sides. R …

Relative singularity categories and Gorenstein‐projective modules

XW Chen - Mathematische Nachrichten, 2011 - Wiley Online Library
We introduce the notion of relative singularity category with respect to a self‐orthogonal
subcategory ω of an abelian category. We introduce the Frobenius category of ω‐Cohen …