[PDF][PDF] Relative homology and Gorenstein flat dimension

S Sather-Wagstaff, T Sharif, D White - arXiv preprint arXiv:1307.3657, 2013 - arxiv.org
arXiv:1307.3657v2 [math.AC] 14 Nov 2013 Page 1 arXiv:1307.3657v2 [math.AC] 14 Nov 2013
RELATIVE HOMOLOGY AND GORENSTEIN FLAT DIMENSION SEAN SATHER-WAGSTAFF …

Global Gorenstein dimensions of polynomial rings and of direct products of rings

D Bennis, N Mahdou - arXiv preprint arXiv:0801.0483, 2008 - arxiv.org
In this paper, we extend the well-known Hilbert's syzygy theorem to the Gorenstein
homological dimensions of rings. Also, we study the Gorenstein homological dimensions of …

[PDF][PDF] Model structures, n-Gorenstein flat modules and PGF dimensions

R El Maaouy - arXiv e-prints, 2023 - researchgate.net
Given a non-negative integer n and a ring R with identity, we construct a hereditary abelian
model structure on the category of left R-modules where the class of cofibrant objects …

[引用][C] Gorenstein -flat dimension of complexes and relative singularity categories

W Chen - Journal of Algebra and Its Applications, 2023 - World Scientific
Assume that the class of all Gorenstein (ℒ, 𝒜)-flat modules is closed under extensions. We
define a notion of Gorenstein (ℒ, 𝒜)-flat dimension for complexes and consider equivalent …

Gorenstein FP-Injective Dimension for Complexes

J Hu, Y Geng, Z Xie, D Zhang - Communications in Algebra, 2015 - Taylor & Francis
This article is a continuous work of, where the coauthors introduced the notion of 𝒢-FP-
injective R-modules. In this article, we define a notion of 𝒢-FP-injective dimension for …

[PDF][PDF] Gorenstein semihereditary rings and Gorenstein Prüfer domains

T Xiong - International Electronic Journal of Algebra, 2017 - dergipark.org.tr
GORENSTEIN SEMIHEREDITARY RINGS AND GORENSTEIN PRÜFER DOMAINS Tao Xiong
1. Introduction Throughout this paper, R is an associat Page 1 International Electronic Journal of …

Rings over which the class of Gorenstein flat modules is closed under extensions

D Bennis - Communications in Algebra, 2009 - Taylor & Francis
A ring R is called left “GF-closed”, if the class of all Gorenstein flat left R-modules is closed
under extensions. The class of left GF-closed rings includes strictly the one of right coherent …

Gorenstein injective and Gorenstein flat dimensions under base change

L Khatami, S Yassemi - Communications in Algebra, 2003 - Taylor & Francis
Full article: Gorenstein Injective and Gorenstein Flat Dimensions Under Base Change Skip to
Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log …

Coherent power series ring and weak Gorenstein global dimension

N MAHDOU, M TAMEKKANTE… - Glasgow Mathematical …, 2013 - cambridge.org
COHERENT POWER SERIES RING AND WEAK GORENSTEIN GLOBAL DIMENSION Page 1
Glasgow Math. J. 55 (2013) 533–536. C Glasgow Mathematical Journal Trust 2013 …

Modules with finite reducing Gorenstein dimension

T Araya, O Celikbas, J Cook, T Kobayashi - Beiträge zur Algebra und …, 2024 - Springer
If M is a nonzero finitely generated module over a commutative Noetherian local ring R such
that M has finite injective dimension and finite Gorenstein dimension, then it follows from a …