English

Braided anti-flexible bialgebras

Rings and Algebras 2022-11-08 v5

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.

Keywords

Cite

@article{arxiv.2208.02221,
  title  = {Braided anti-flexible bialgebras},
  author = {Tao Zhang and Hui-Jun Yao},
  journal= {arXiv preprint arXiv:2208.02221},
  year   = {2022}
}

Comments

37 pages, many typos, misprints and English language errors are corrected.The proofs which contain long direct computations are shortened. Continues arXiv:2112.11977 and arXiv:2203.15692

R2 v1 2026-06-25T01:27:21.562Z