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.

中文翻译：

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霍普夫代数运算和理性理想

本说明讨论了一个研究具有Hopf代数H的关联代数A的素谱的框架。特别是，我们研究的概念^ h -rationality为理想的一对可能Dixmier-Moeglin等价和评论^ h的-prime理想一个。