1. Algèbres de Jordan sans J-diviseurs topologiques généralisés de zéro
- Author
-
Ahmed Zinedine and Abdelaziz Tajmouati
- Subjects
Pure mathematics ,Jordan algebra ,Jordan algebras ,General Mathematics ,Subalgebra ,Mathematics::General Topology ,Set (abstract data type) ,Quadratic equation ,46H70 ,Gelfand–Mazur theorem ,17C60 ,Gelfand-Mazur theorem ,Associative property ,generalized topological J-divisors of zero ,Mathematics - Abstract
Our aim in this paper is to show that the set $G_j(A)\cup \{0\}$, where $G_j(A)$ is the set of all J-invertible elements of a topological Jordan algebra $A$ without J-g.t.d.z, is isomorphic to $\mathbb{C}$ in the complex case. In the real case it is a $p$-normed quadratic J-division subalgebra of $A$. This result extends a well-known result of W. Żelazko ([11]) in the associative case to Jordan algebras.
- Published
- 2019