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arXiv · 1903.03994

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

Tewfik Chtioui·Sami Mabrouk·Abdenacer Makhlouf
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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.

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Tewfik Chtioui, Sami Mabrouk, Abdenacer Makhlouf. 2019-03-10. BiHom-pre-alternative algebras and BiHom-alternative quadri-algebras. https://arxiv.org/abs/1903.03994

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