Double Frobenius algebras

Abstract

Some equivalent conditions for double Frobenius algebras to be strict ones are given. Then some examples of (strict or non-strict) double Frobenius algebras are presented. Finally, a sufficient and necessary condition for the trivial extension of a double Frobenius algebra to be a (strict) double Frobenius algebra is given.

Keywords

Double Frobenius algebra / bi-Frobenius algebra / trivial extension

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