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Talpo, Humberto Luiz; Schützer, Waldeck
Archiv der Mathematik, 03/2021, Letnik: 116, Številka: 3Journal Article
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 algebra. If P is bounded, F is an infinite field of characteristic zero, and A , B are both elementary G -graded incidence algebras of P satisfying the same G -graded polynomial identities, and the automorphism group of P acts transitively on the maximal chains of P , we show that A and B are graded isomorphic.
