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)).
Full text
PDF
Selected References
These references are in PubMed. This may not be the complete list of references from this article.
- Jacobson N. Structure theory for a class of jordan algebras. Proc Natl Acad Sci U S A. 1966 Feb;55(2):243–251. doi: 10.1073/pnas.55.2.243. [DOI] [PMC free article] [PubMed] [Google Scholar]
- McCrimmon K. A general theory of jordan rings. Proc Natl Acad Sci U S A. 1966 Oct;56(4):1072–1079. doi: 10.1073/pnas.56.4.1072. [DOI] [PMC free article] [PubMed] [Google Scholar]