Coherent rings and Gorenstein FP-injective modules

Z Gao, F Wang - Communications in Algebra, 2012 - Taylor & Francis
coherent rings. Naturally, many literature articles take the role of FP-injectivity in relative
homological … and investigate self-FP-injective coherent rings in terms of Gorenstein FP-injective …

Homology theories for complexes based on flats

L Liang - Glasgow Mathematical Journal, 2021 - cambridge.org
over arbitrary associative rings, which is defined using special Gorenstein flat precovers. We
compare the Gorenstein relative homology to the Tate/unbounded homology … be coherent

Homological dimension based on a class of Gorenstein flat modules

G Dalezios, I Emmanouil - Comptes …, 2023 - comptes-rendus.academie-sciences …
… In this paper, we study the relative homological dimension … Gorenstein flat if the ground ring
is right coherent and has finite left … group algebras of groups over any commutative coefficient …

Relative FP-gr-injective and gr-flat modules

T Zhao, Z Gao, Z Huang - International Journal of Algebra and …, 2018 - World Scientific
coherent rings and n-coherent rings. Along the same lines, it seems to be natural to extend
the ideas of [7, 8] and studied the relative homological … Let R be a ring graded by a group G …

Model structures on modules over Ding-Chen rings

J Gillespie - 2010 - projecteuclid.org
… In this paper we call a (left and right) coherent ring with finite (… Ding-Chen ring and G is a
finite group, the group ring R[G] is … and developed Gorenstein homological algebra. Hovey […

Gorenstein homological dimension and some invariants of groups

W Ren, G Yang - arXiv preprint arXiv:2211.02221, 2022 - arxiv.org
… 1960s, now form the basis of a version of relative homological algebra known as Gorenstein
… Thanks to [25, Corollary 4.12], now we can remove the assumption of coherent rings in …

Weak injective and weak flat modules

Z Gao, F Wang - Communications in Algebra, 2015 - Taylor & Francis
… By replacing finitely presented modules by super finitely presented modules, we may
generalize many results of a homological nature from coherent rings to arbitrary rings. Some …

On Gorenstein homological dimension of groups

Y Luo, W Ren - arXiv preprint arXiv:2205.15542, 2022 - arxiv.org
rings are assumed to be coherent in [15]; as a generalization, the notion of GF-closed rings
… can remove the assumptions of coherent rings and GF-closed rings in many situations, see …

Gorenstein homological algebra

EE Enochs, OMG Jenda - … , Rings, Modules, and Homological …, 2016 - taylorfrancis.com
… variety of relative homological algebra that is now called Gorenstein homological algebra. …
cover and Chase showed that right coherence for a ring is equivalent to closure of the class …

Two categorical studies: relative homological algebra of R-modules, fixpoint theorems for Q-categories

A Benkhadra - 2023 - theses.hal.science
… nX-coherent rings. We then investigate the relations among Gorenstein nX-injective, nX-flat,
injective and flat modules on X-FC-rings (ie, self nX-injective and nXcoherent rings). … groups, …