English

Extending structures for alternative bialgebras

Rings and Algebras 2023-08-24 v2

Abstract

We introduce the concept of braided alternative bialgebra. The theory of cocycle bicrossproducts for alternative bialgebras is developed. As an application, the extending problem for alternative bialgebra is solved by using some non-abelian cohomology theory.

Keywords

Cite

@article{arxiv.2208.08281,
  title  = {Extending structures for alternative bialgebras},
  author = {Tao Zhang and Fang Yang},
  journal= {arXiv preprint arXiv:2208.08281},
  year   = {2023}
}

Comments

61pages, Continues arXiv:2112.11977, arXiv:2203.15692 and arXiv:2208.02221

R2 v1 2026-06-25T01:46:01.667Z