HOM-MALTSEV, HOM-ALTERNATIVE, AND HOM-JORDAN ALGEBRAS

Year 2012, Volume: 11 Issue: 11, 177 - 217, 01.06.2012

Donald Yau

Abstract

Hom-Maltsev(-admissible) algebras are defined, and it is shown
that Hom-alternative algebras are Hom-Maltsev admissible. With a new defi-
nition of a Hom-Jordan algebra, it is shown that Hom-alternative algebras are
Hom-Jordan-admissible. Hom-type generalizations of some well-known identities
in alternative algebras, including the Moufang identities, are obtained.

Keywords

Hom-Maltsev algebras, Hom-Maltsev admissible algebras, Homalternative algebras, Hom-Moufang identities, Hom-Jordan algebras, HomJordan-admissible algebras

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• Department of Mathematics The Ohio State University at Newark University Drive Newark, OH 43055, USA e-mail: [e-mail]