Abstract:When one studies the structure of graded algebras (e.g. graded ideals, graded subspaces, radicals,. . . ) or graded polynomial identities, the grading group itself does not play an important role, but can be replaced by any other group that realizes the same grading. Here we come to the notion of weak equivalence of gradings: two gradings are weakly equivalent if there exists an isomorphism between the graded algebras that maps each graded component onto a graded component. Each group grading on an algebra can… Show more
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