| Title:
|
Hom-Akivis algebras (English) |
| Author:
|
Issa, A. Nourou |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
52 |
| Issue:
|
4 |
| Year:
|
2011 |
| Pages:
|
485-500 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
Akivis algebra |
| Keyword:
|
Hom-associative algebra |
| Keyword:
|
Hom-Lie algebra |
| Keyword:
|
Hom-Akivis algebra |
| Keyword:
|
Hom-Malcev algebra |
| MSC:
|
17A30 |
| MSC:
|
17D10 |
| MSC:
|
17D99 |
| idZBL:
|
Zbl 1249.17005 |
| idMR:
|
MR2863993 |
| . |
| Date available:
|
2012-05-01T01:48:06Z |
| Last updated:
|
2015-02-11 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142800 |
| . |
| Reference:
|
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| . |
