Hom-Akivis algebras

A. Nourou Issa

Commentationes Mathematicae Universitatis Carolinae (2011)

  • Volume: 52, Issue: 4, page 485-500
  • ISSN: 0010-2628

Abstract

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Hom-Akivis algebras are introduced. The commutator-Hom-associator algebra of a non-Hom-associative algebra (i.e. a Hom-nonassociative algebra) is a Hom-Akivis algebra. It is shown that Hom-Akivis algebras can be obtained from Akivis algebras by twisting along algebra endomorphisms and that the class of Hom-Akivis algebras is closed under self-morphisms. It is pointed out that a Hom-Akivis algebra associated to a Hom-alternative algebra is a Hom-Malcev algebra.

How to cite

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Issa, A. Nourou. "Hom-Akivis algebras." Commentationes Mathematicae Universitatis Carolinae 52.4 (2011): 485-500. <http://eudml.org/doc/246680>.

@article{Issa2011,
abstract = {Hom-Akivis algebras are introduced. The commutator-Hom-associator algebra of a non-Hom-associative algebra (i.e. a Hom-nonassociative algebra) is a Hom-Akivis algebra. It is shown that Hom-Akivis algebras can be obtained from Akivis algebras by twisting along algebra endomorphisms and that the class of Hom-Akivis algebras is closed under self-morphisms. It is pointed out that a Hom-Akivis algebra associated to a Hom-alternative algebra is a Hom-Malcev algebra.},
author = {Issa, A. Nourou},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Akivis algebra; Hom-associative algebra; Hom-Lie algebra; Hom-Akivis algebra; Hom-Malcev algebra; Hom-Lie algebra; Akivis algebra; Hom-Akivis algebra; Maltsev algebra; Hom-Maltsev algebra},
language = {eng},
number = {4},
pages = {485-500},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Hom-Akivis algebras},
url = {http://eudml.org/doc/246680},
volume = {52},
year = {2011},
}

TY - JOUR
AU - Issa, A. Nourou
TI - Hom-Akivis algebras
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2011
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 52
IS - 4
SP - 485
EP - 500
AB - Hom-Akivis algebras are introduced. The commutator-Hom-associator algebra of a non-Hom-associative algebra (i.e. a Hom-nonassociative algebra) is a Hom-Akivis algebra. It is shown that Hom-Akivis algebras can be obtained from Akivis algebras by twisting along algebra endomorphisms and that the class of Hom-Akivis algebras is closed under self-morphisms. It is pointed out that a Hom-Akivis algebra associated to a Hom-alternative algebra is a Hom-Malcev algebra.
LA - eng
KW - Akivis algebra; Hom-associative algebra; Hom-Lie algebra; Hom-Akivis algebra; Hom-Malcev algebra; Hom-Lie algebra; Akivis algebra; Hom-Akivis algebra; Maltsev algebra; Hom-Maltsev algebra
UR - http://eudml.org/doc/246680
ER -

References

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