Gorenstein dimension and group cohomology with group ring coefficients

I Emmanouil, O Talelli - Journal of the London Mathematical …, 2018 - Wiley Online Library
The Gorenstein cohomological dimension of a group G generalizes the ordinary
cohomological dimension of G, in the sense that the two invariants coincide when the latter …

Projectively coresolved Gorenstein flat dimension of groups

DD Stergiopoulou - Journal of Algebra, 2024 - Elsevier
In this paper, we introduce and study the projectively coresolved Gorenstein flat dimension
of a group G over a commutative ring R and we prove that this dimension enjoys all the …

Maximum deconstructibility in module categories

S Cox - Journal of Pure and Applied Algebra, 2022 - Elsevier
We prove that Vopěnka's Principle implies that for every class X of modules over any ring,
the class of X-Gorenstein Projective modules (X-GP) is a precovering class. In particular, it is …

Approximation Theory and Elementary Submodels

S Cox - arXiv preprint arXiv:2405.19634, 2024 - arxiv.org
\emph {Approximation Theory} uses nicely-behaved subcategories to understand entire
categories, just as projective modules are used to approximate arbitrary modules in classical …

[PDF][PDF] a review of Maximum deconstructibility in module categories by Cox, Sean

西村泰一, ニシムラヒロカズ - zbMATH Open, 2022 - tsukuba.repo.nii.ac.jp
Cox, Sean Maximum deconstructibility in module categories. (English) £ ¢ ¡ Zbl 07455911 J.
Pure Appl. Algebra 226, No. 5, Ar Page 1 Cox, Sean Maximum deconstructibility in module …