Braided anti-flexible bialgebras
Tao Zhang, Hui-Jun Yao
TL;DR
This paper introduces braided anti-flexible bialgebras, constructs cocycle bicrossproduct structures, and applies non-abelian cohomology to solve extension problems in anti-flexible bialgebras.
Contribution
It defines the new concept of braided anti-flexible bialgebras and develops methods to construct and analyze them using cohomology theory.
Findings
Construction of cocycle bicrossproduct anti-flexible bialgebras
Solution to the extending problem for anti-flexible bialgebras
Application of non-abelian cohomology in this context
Abstract
We introduce the concept of braided anti-flexible bialgebra and construct cocycle bicrossproduct anti-flexible bialgebras. As an application, we solve the extending problem for anti-flexible bialgebras by using some non-abelian cohomology theory.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Mobile Agent-Based Network Management