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Variety of Hom-Sabinin algebras and related algebra subclasses

The purpose of this paper is to study Sabinin algebras of Hom-type. It is shown that Lie, Malcev, Bol and other algebras of Hom-type are naturally Sabinin algebras of Hom-type. To this end, we provide a general key construction that establish a relationship between identities of some class of Hom-algebras and ordinary algebras. Moreover, we discuss a new concept of Hom-bialgebra, in relation with universal enveloping Hom-algebras. A study based on primitive elements is provided.

preprint2015arXivOpen access
Daniel de la ConcepciónAbdenacer Makhlouf
math.RTmath.RA
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Daniel de la ConcepciónAbdenacer Makhlouf

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