Min Ouyang
Abstract
Let H be a finite dimensional Hopf algebra and A an H-module algebra. We prove that is Frobenius or quasi-Frobenius algebra if A is Frobenius or quasi-Frobenius as algebra and some other conditions are satisfied which are generalizations of theorems in group actions.
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Let H be a finite dimensional Hopf algebra and A an H-module algebra. We prove that is Frobenius or quasi-Frobenius algebra if A is Frobenius or quasi-Frobenius as algebra and some other conditions are satisfied which are generalizations of theorems in group actions.
Key concepts: Frobenius group, Mathematics, Frobenius theorem (differential topology), Frobenius algebra, Algebra over a field, Hopf algebra, Division algebra, Pure mathematics