English

BiHom-pre-alternative algebras and BiHom-alternative quadri-algebras

Rings and Algebras 2019-03-20 v1 Mathematical Physics math.MP

Abstract

The purpose of this paper is to introduce and study the notion of BiHom-pre-alternative algebra which may be viewed as a BiHom-alternative algebra whose product can be decomposed into two compatible pieces. Furthermore, we introduce the notion of BiHom-alternative quadri-algebra and show the connections between all these algebraic structures using Rota-Baxter operators and O-operators.

Keywords

Cite

@article{arxiv.1903.03994,
  title  = {BiHom-pre-alternative algebras and BiHom-alternative quadri-algebras},
  author = {Tewfik Chtioui and Sami Mabrouk and Abdenacer Makhlouf},
  journal= {arXiv preprint arXiv:1903.03994},
  year   = {2019}
}

Comments

arXiv admin note: text overlap with arXiv:1704.04781 by other authors