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

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.

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

References in corpus (1)

• Loday-type Algebras and the Rota-Baxter Relation

Cited by in corpus (5)

• Transposed Hom-Poisson and Hom-pre-Lie Poisson algebras and bialgebras
• Cohomology and linear deformation of BiHom-left-symmetric algebras
• Construtions and bimodules of BiHom-alternative and BiHom-Jordan algebras
• Hom-pre-Malcev and Hom-M-Dendriform algebras
• Representations, extensions and deformations of $n$-BiHom-Lie algebras