Hom-Lie Triple System and Hom-Bol Algebra Structures on Hom-Maltsev and Right Hom-Alternative Algebras
Every multiplicative Hom-Maltsev algebra has a natural multiplicative Hom-Lie triple system structure. Moreover, there is a natural Hom-Bol algebra structure on every multiplicative Hom-Maltsev algebra and on every multiplicative right (or left) Hom-alternative algebra.
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2018/4528685 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849304380684107776 |
|---|---|
| author | Sylvain Attan A. Nourou Issa |
| author_facet | Sylvain Attan A. Nourou Issa |
| author_sort | Sylvain Attan |
| collection | DOAJ |
| description | Every multiplicative Hom-Maltsev algebra has a natural multiplicative Hom-Lie triple system structure. Moreover, there is a natural Hom-Bol algebra structure on every multiplicative Hom-Maltsev algebra and on every multiplicative right (or left) Hom-alternative algebra. |
| format | Article |
| id | doaj-art-19346be98f4d4484bbb2c387cb80b981 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-19346be98f4d4484bbb2c387cb80b9812025-08-20T03:55:45ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252018-01-01201810.1155/2018/45286854528685Hom-Lie Triple System and Hom-Bol Algebra Structures on Hom-Maltsev and Right Hom-Alternative AlgebrasSylvain Attan0A. Nourou Issa1Département de Mathématiques, Université d’Abomey-Calavi, 01 BP 4521 Cotonou, BeninDépartement de Mathématiques, Université d’Abomey-Calavi, 01 BP 4521 Cotonou, BeninEvery multiplicative Hom-Maltsev algebra has a natural multiplicative Hom-Lie triple system structure. Moreover, there is a natural Hom-Bol algebra structure on every multiplicative Hom-Maltsev algebra and on every multiplicative right (or left) Hom-alternative algebra.http://dx.doi.org/10.1155/2018/4528685 |
| spellingShingle | Sylvain Attan A. Nourou Issa Hom-Lie Triple System and Hom-Bol Algebra Structures on Hom-Maltsev and Right Hom-Alternative Algebras International Journal of Mathematics and Mathematical Sciences |
| title | Hom-Lie Triple System and Hom-Bol Algebra Structures on Hom-Maltsev and Right Hom-Alternative Algebras |
| title_full | Hom-Lie Triple System and Hom-Bol Algebra Structures on Hom-Maltsev and Right Hom-Alternative Algebras |
| title_fullStr | Hom-Lie Triple System and Hom-Bol Algebra Structures on Hom-Maltsev and Right Hom-Alternative Algebras |
| title_full_unstemmed | Hom-Lie Triple System and Hom-Bol Algebra Structures on Hom-Maltsev and Right Hom-Alternative Algebras |
| title_short | Hom-Lie Triple System and Hom-Bol Algebra Structures on Hom-Maltsev and Right Hom-Alternative Algebras |
| title_sort | hom lie triple system and hom bol algebra structures on hom maltsev and right hom alternative algebras |
| url | http://dx.doi.org/10.1155/2018/4528685 |
| work_keys_str_mv | AT sylvainattan homlietriplesystemandhombolalgebrastructuresonhommaltsevandrighthomalternativealgebras AT anourouissa homlietriplesystemandhombolalgebrastructuresonhommaltsevandrighthomalternativealgebras |