Double Frobenius algebras

Zhihua WANG; Libin LI

doi:10.1007/s11464-018-0682-3

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Front. Math. China ›› 2018, Vol. 13 ›› Issue (2) : 399-415. DOI: 10.1007/s11464-018-0682-3

RESEARCH ARTICLE

Double Frobenius algebras

Zhihua WANG¹^,² ,
Libin LI³

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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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Zhihua WANG, Libin LI. Double Frobenius algebras. Front. Math. China, 2018, 13(2): 399‒415 https://doi.org/10.1007/s11464-018-0682-3

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