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math.RA2022
On some H-cleft extensions which are distinguished by their polynomial H-identities
Abel Gomes de Oliveira, Waldeck Schützer
Let H be the Taft algebra over a finite commutative ring R. When N is a unit in R, we show that all H-cleft extensions over R are determined up to H-comodule algebra isomorphism by…
math.RA2020
Gradings on Incidence Algebras and their Graded Polynomial Identities
Humberto Luiz Talpo, Waldeck Schützer
Let P a locally finite partially ordered set, F a field, G a group, and I(P,F) the incidence algebra of P over F. We describe all the inequivalent elementary G-gradings on this alg…