Existence of totally reflexive modules via Gorenstein homomorphisms

KA Beck - Journal of Commutative Algebra, 2012 - JSTOR
EXISTENCE OF TOTALLY REFLEXIVE MODULES VIA GORENSTEIN HOMOMORPHISMS
tion S-+ S/(xt,··· ,xn) ~ R, with Xt, ··· ,xn an S-reg Page 1 JOURNAL OF COMMUTATIVE …

A Bass equality for Gorenstein injective dimension of modules finite over homomorphisms

LW Christensen, D Wu - Archiv der Mathematik, 2019 - Springer
A Bass equality for Gorenstein injective dimension of modules finite over homomorphisms |
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On the Gorenstein dimensions over local homomorphisms

L Liang, D Wu - Communications in Algebra, 2019 - Taylor & Francis
In this paper, we further study Gorenstein dimension over local homomorphisms developed
by Iyengar and Sather-Wagstaff. For a local homomorphism φ: R→ S and a homologically …

Homological flat dimensions

P Sahandi, T Sharif, S Yassemi - arXiv preprint arXiv:0709.4078, 2007 - arxiv.org
For finitely generated module $ M $ over a local ring $ R $, the conventional notions of
complete intersection dimension $\cid_R M $ and Cohen-Macaulay dimension $\cmdim_R …

Complexes of FP-injective modules

Y Geng - Algebra Colloquium, 2010 - World Scientific
In this paper, we study the class of complexes of FP-injective left R-modules. It is shown that
the pair is a complete cotorsion pair. If R is a left coherent ring, it is proved that every …

Gorenstein projective dimensions of complexes under base change with respect to a semidualizing module

C Zhang - Bulletin of the Korean Mathematical Society, 2021 - koreascience.kr
Abstract Let R→ S be a ring homomorphism. The relations of Gorenstein projective
dimension with respect to a semidualizing module of homologically bounded complexes …

[PDF][PDF] Gorenstein dimensions of unbounded complexes under base change

D Wu - Bulletin of the Korean Mathematical Society, 2016 - academia.edu
Transfer of homological properties under base change is a classical field of study. Let R→ S
be a ring homomorphism. The relations of Gorenstein projective (or Gorenstein injective) …

New Characterizations of Restricted Injective Dimensions for Complexes

D Wu, Z Miao - Indian Journal of Pure and Applied Mathematics, 2020 - Springer
In this paper, we study the restricted injective dimensions of complexes. Some new
characterizations of the restricted injective dimensions are obtained. In particular, it is shown …

Adic Foxby classes

S Sather-Wagstaff, R Wicklein - arXiv preprint arXiv:1602.03227, 2016 - arxiv.org
We continue our work on adic semidualizing complexes over a commutative noetherian ring
$ R $ by investigating the associated Auslander and Bass classes (collectively known as …

[PDF][PDF] Some Change of Rings Results for Gorenstein Flat Dimension

D Bennis, K Ouarghi - International Journal of Algebra, 2010 - researchgate.net
Some Change of Rings Results for Gorenstein Flat Dimension 1 Introduction Page 1
International Journal of Algebra, Vol. 4, 2010, no. 1, 39 - 44 Some Change of Rings Results for …