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math.RA2026
Graded bimodules over split group algebras: stabilizers and Peirce decompositions
Felipe de Mattos Chafik Hindi, Waldeck Schutzer
We classify, up to graded isomorphism, graded bimodules over split group algebras of finite abelian subgroups of an arbitrary group. The classification is governed by double cosets…
math.RA2026
A classification of group gradings on incidence algebras over commutative rings
Felipe de Mattos Chafik Hindi, Waldeck Schutzer
Let be a commutative ring with 1, a locally finite partially ordered set, and a group. We derive necessary and sufficient conditions for an -algebra isomorphism betw…