English

The Mikheev identity in right Hom-alternative algebras

Rings and Algebras 2012-05-02 v1

Abstract

It is shown that in every multiplicative right Hom-alternative algebra, a Hom-type generalization of the Mikheev identity holds. It is then inferred that a multiplicative right Hom-alternative algebra with an injective twisting map and without Hom-nilpotent elements or left zero-divisors must be a Hom-alternative algebra.

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Cite

@article{arxiv.1205.0148,
  title  = {The Mikheev identity in right Hom-alternative algebras},
  author = {Donald Yau},
  journal= {arXiv preprint arXiv:1205.0148},
  year   = {2012}
}

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15 pages