[HTML][HTML] Self-orthogonal modules over coherent rings

Z Huang, G Tang - Journal of Pure and Applied Algebra, 2001 - Elsevier
Let R be a left coherent ring, S any ring and RωS an (R, S)-bimodule. Suppose ωS has an
ultimately closed FP-injective resolution and RωS satisfies the conditions:(1) ωS is finitely …

On the finiteness of Gorenstein homological dimensions

I Emmanouil - Journal of Algebra, 2012 - Elsevier
In this paper, we study certain properties of modules of finite Gorenstein projective, injective
and flat dimensions. We examine conditions which imply that all Gorenstein projective …

A note on Gorenstein flat dimension

D Bennis - Algebra Colloquium, 2011 - World Scientific
Unlike the Gorenstein projective and injective dimensions, the majority of results on the
Gorenstein flat dimension have been established only over Noetherian (or coherent) rings …

FPn-Injective, FPn-Flat Covers and Preenvelopes, and Gorenstein AC-Flat Covers

D Bravo, S Estrada, A Iacob - Algebra Colloquium, 2018 - World Scientific
We prove that, for any n≥ 2, the classes of FP n-injective modules and of FP n-flat modules
are both covering and preenveloping over any ring R. This includes the case of FP∞ …

[HTML][HTML] Gorenstein flat modules and dimensions over formal triangular matrix rings

L Mao - Journal of Pure and Applied Algebra, 2020 - Elsevier
Abstract Let T=(A 0 UB) be a formal triangular matrix ring, where A and B are rings and U is
a (B, A)-bimodule. We prove that, if T is a right coherent ring, UB has finite flat dimension, UA …

Weak Gorenstein global dimension

D Bennis - International Electronic Journal of Algebra, 2010 - dergipark.org.tr
In this paper, we investigate the weak Gorenstein global dimension. We are mainly
interested in studying the problem when the left and right weak Gorenstein global …

Rings over which all modules are strongly Gorenstein projective

D Bennis, N Mahdou, K Ouarghi - The Rocky Mountain Journal of …, 2010 - JSTOR
One of the main results of this paper is the characterization of the rings over which all
modules are strongly Gorenstein projective. We show that these kinds of rings are very …

Gorenstein flat covers over GF-closed rings

Y Gang, L Zhongkui - Communications in Algebra, 2012 - Taylor & Francis
Full article: Gorenstein Flat Covers over GF-Closed Rings Skip to Main Content Taylor and
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Gorenstein flat dimension of complexes

A Iacob - Journal of mathematics of Kyoto University, 2009 - projecteuclid.org
We define a notion of Gorenstein flat dimension for unbounded complexes over left GF-
closed rings. Over Gorenstein rings we introduce a notion of Gorenstein cohomology for …

[HTML][HTML] Strongly Gorenstein projective, injective, and flat modules

D Bennis, N Mahdou - Journal of Pure and Applied Algebra, 2007 - Elsevier
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 …