Extending structures for BiHom-Frobenius algebras

Abstract

We introduce the concept of braided BiHom-Frobenius algebras and give the cocycle bicrossproduct construction for BiHom-Frobenius algebras. We find that the extending problem for BiHom-Frobenius algebras can be classified by non-abelian cohomology theory.

arXiv comment36pages, Continues arXiv:0706.3282, will continue arXiv:2208.02221, arXiv:2208.08281, arXiv:2203.15692, arXiv:2211.05202