ieja

International Electronic Journal of Algebra

1306-6048

Abdullah HARMANCI

Mathematical Sciences

Matematik

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

Yau

Donald

06 01 2012

11 11 177 217 06 01 2012

2007

International Electronic Journal of Algebra

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.

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: dyau@math.ohio-state.edu