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

Authors : Donald Yau

Pages : 177-217

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Publication Date : 2012-06-01

Article Type : Research Paper

Abstract :Hom-Maltsevinsert ignore into journalissuearticles values(-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