(Strongly) Gorenstein flat modules over group rings
A Bahlekeh - Bulletin of the Australian Mathematical Society, 2014 - cambridge.org
Let Γ be a group and Γ be a subgroup of Γ of finite index. Let M be a Γ-module. It is shown
that M is (strongly) Gorenstein flat if and only if it is (strongly) Gorenstein flat as a Γ-module …
that M is (strongly) Gorenstein flat if and only if it is (strongly) Gorenstein flat as a Γ-module …
The Auslander-Reiten Conjecture for Group Rings
A Bahlekeh - Iranian Journal of Mathematical Sciences and …, 2022 - ijmsi.ir
This paper studies the vanishing of $ Ext $ modules over group rings. Let $ R $ be a
commutative noetherian ring and $ ga $ a group. We provide a criterion under which the …
commutative noetherian ring and $ ga $ a group. We provide a criterion under which the …
Virtual Gorensteinness over group algebras
A Bahlekeh, S Salarian - 2015 - projecteuclid.org
Let Γ be a finite group, and let Λ be any Artin algebra. It is shown that the group algebra Λ Γ
is virtually Gorenstein if and only if Λ Γ'is virtually Gorenstein, for all elementary abelian …
is virtually Gorenstein if and only if Λ Γ'is virtually Gorenstein, for all elementary abelian …