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Taoufik Chtioui

Publications and source records attributed to Taoufik Chtioui.

20 records · Page 2Linked to original sources

arXiv2019

Cohomology and linear deformation of BiHom-left-symmetric algebras

The aim of this work is to introduce representations of BiHom-left-symmetric algebras. and develop its cohomology theory. As applications, we study linear deformations of BiHom-left-symmetric algebras, which are characterized by its second cohomology group with the coefficients in the adjoint representation. The notion of a Nijenhuis operator on a BiHom-left-symmetric algebra is introduced. We will prove that it can generate trivial linear deformations of a BiHom-left-symmetric algebra.

math.RA↗

arXiv2018

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

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.

math.RA↗