Extending structures for BiHom-Frobenius algebras
Tao Zhang, Hui-Jun Yao
TL;DR
This paper introduces braided BiHom-Frobenius algebras, provides a cocycle bicrossproduct construction, and classifies their extensions using non-abelian cohomology theory.
Contribution
It presents a new class of braided BiHom-Frobenius algebras and a novel classification method for their extensions via non-abelian cohomology.
Findings
Introduction of braided BiHom-Frobenius algebras
Cocycle bicrossproduct construction for these algebras
Classification of extensions using non-abelian cohomology
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.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Synthesis and Properties of Aromatic Compounds