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Hopf Algebra Actions and Rational Ideals

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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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Correspondence to Martin Lorenz.

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Presented by: Kenneth Goodearl

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Lorenz, M. Hopf Algebra Actions and Rational Ideals. Algebr Represent Theor 25, 269–280 (2022). https://doi.org/10.1007/s10468-020-10019-5

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  • DOI: https://doi.org/10.1007/s10468-020-10019-5

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