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arXiv · 1811.10394

BiHom-alternative, BiHom-Malcev and BiHom-Jordan algebras

Taoufik Chtioui·Sami Mabrouk·Abdenacer Makhlouf
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Abstract

The purpose of this paper is to introduce and study BiHom-alternative algebras and BiHom-Malcev algebras. It is shown that BiHom-alternative algebras are BiHom-Malcev admissible and BiHom-Jordan admissible. Moreover, BiHom-type generalizations of some well known identities in alternative algebras, including the Moufang identities, are obtained.

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Taoufik Chtioui, Sami Mabrouk, Abdenacer Makhlouf. 2018-11-26. BiHom-alternative, BiHom-Malcev and BiHom-Jordan algebras. https://arxiv.org/abs/1811.10394

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