| dc.creator | LAZARO RAUL FELIPE PARADA | |
| dc.date | 2010-12-15 | |
| dc.date.accessioned | 2023-07-21T15:46:08Z | |
| dc.date.available | 2023-07-21T15:46:08Z | |
| dc.identifier | http://cimat.repositorioinstitucional.mx/jspui/handle/1008/607 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/7729153 | |
| dc.description | In this paper we show some basic properties of quasi-Jordan alge-
bras and we study the definition of Leibniz-Jordan algebra introduced by
P. Kolesnikov and restrictive quasi-Jordan algebras introduced by M. R.
Bremner. We show that these definitions are equivalent and we define
K-B quasi-Jordan algebras. We present a characterization of K-B quasi-
Jordan algebras by Jordan bimodules and construct right units over a K-B
quasi-Jordan algebras.
On the other hand, we prove that there are inner derivations (classical
and left derivations) in K-B quasi-Jordan algebras, we find the relationship
between K-B quasi-Jordan algebras and Leibniz algebras and we construct
Leibniz algebras from K-B quasi-Jordan algebras. | |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Centro de Investigación en Matemáticas AC | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.rights | http://creativecommons.org/licenses/by-nc/4.0 | |
| dc.subject | info:eu-repo/classification/MSC/Anillos | |
| dc.subject | info:eu-repo/classification/MSC/Algebras de Jordan | |
| dc.subject | info:eu-repo/classification/cti/1 | |
| dc.subject | info:eu-repo/classification/cti/12 | |
| dc.subject | info:eu-repo/classification/cti/1201 | |
| dc.subject | info:eu-repo/classification/cti/120105 | |
| dc.subject | info:eu-repo/classification/cti/120105 | |
| dc.title | On K-B Quasi-Jordan Algebras and Their Relation With Leibniz Algebras | |
| dc.type | info:eu-repo/semantics/report | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.audience | researchers | |
