- International Electronic Journal of Algebra
- Vol: 11 Issue: 11
- HOM-MALTSEV, HOM-ALTERNATIVE, AND HOM-JORDAN ALGEBRAS
HOM-MALTSEV, HOM-ALTERNATIVE, AND HOM-JORDAN ALGEBRAS
Authors : Donald Yau
Pages : 177-217
View : 11 | Download : 6
Publication Date : 2012-06-01
Article Type : Research
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