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Hopf algebra actions and rational ideals

Published 29 Mar 2020 in math.RA | (2003.13025v1)

Abstract: This note discusses a framework for the investigation of the prime spectrum of an associative algebra A that is equipped with an action of a Hopf algebra H. In particular, we study a notion of H-rationality for ideals of A and comment on a possible Dixmier-Moeglin equivalence for H-prime ideals of A.

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