info:eu-repo/semantics/report
On K-B Quasi-Jordan Algebras and Their Relation With Leibniz Algebras
Autor
LAZARO RAUL FELIPE PARADA
Institución
Resumen
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.
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