BiHom-pre-alternative algebras and BiHom-alternative quadri-algebras
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Publication:6315358
arXiv1903.03994MaRDI QIDQ6315358
Sami Mabrouk, Taoufik Chtioui, Abdenacer Makhlouf
Publication date: 10 March 2019
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.
Alternative rings (17D05) Nonassociative algebras satisfying other identities (17A30) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Yang-Baxter equations and Rota-Baxter operators (17B38) (non-Lie) Hom algebras and topics (17D30)
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