Develops cohomology for BiHom-left-symmetric algebras and characterizes their linear deformations by the second cohomology group with adjoint coefficients.
BiHom-alternative, BiHom-Malcev and BiHom-Jordan algebras
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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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math.RA 1years
2019 1verdicts
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Cohomology and linear deformation of BiHom-left-symmetric algebras
Develops cohomology for BiHom-left-symmetric algebras and characterizes their linear deformations by the second cohomology group with adjoint coefficients.