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Gorenstein homological dimension of group extensions
Dimitra-Dionysia Stergiopoulou
We study the Gorenstein homological dimension of groups which are of type over a commutative ring . Our main result shows that, over an arbitrary rin…
Gorenstein analogues of a projectivity criterion over group algebras
Rudradip Biswas, Dimitra-Dionysia Stergiopoulou
We formulate and answer Gorenstein projective, flat, and injective analogues of a classical projectivity question for group rings under some mild additional assumptions. Although t…
Gorenstein modules and dimension over large families of infinite groups
Dimitra-Dionysia Stergiopoulou
We give characterizations of Gorenstein projective, Gorenstein flat and Gorenstein injective modules over the group algebra for large families of infinite groups and show that ever…
Finiteness criteria for Gorenstein flat dimension and stability
Ilias Kaperonis, Dimitra-Dionysia Stergiopoulou
Projectively coresolved Gorenstein flat modules were introduced recently by Saroch and Stovicek and were shown to be Gorenstein projective. While the relation between Gorenstein pr…