THE RADICAL OF A JORDAN ALGEBRA
- 1 March 1969
- journal article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 62 (3) , 671-678
- https://doi.org/10.1073/pnas.62.3.671
Abstract
In this paper we define a Jacobson radical for Jordan algebras analogous to that for associative algebras and show that it enjoys many of the properties of the associative radical. We then relate the corresponding notion of "semisimplicity" to the previously defined notion of "nondegeneracy" (Jacobson, N., these Proceedings, 55, 243-251 (1966)).Keywords
This publication has 2 references indexed in Scilit:
- A GENERAL THEORY OF JORDAN RINGSProceedings of the National Academy of Sciences, 1966
- STRUCTURE THEORY FOR A CLASS OF JORDAN ALGEBRASProceedings of the National Academy of Sciences, 1966