Open AccessTHE RADICAL OF A JORDAN ALGEBRA
Author(s) -
Kevin McCrimmon
Publication year - 1969
Publication title -
proceedings of the national academy of sciences of the united states of america
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 5.011
H-Index - 771
eISSN - 1091-6490
pISSN - 0027-8424
DOI - 10.1073/pnas.62.3.671
Subject(s) - jacobson radical , associative property , algebra over a field , jordan algebra , mathematics , pure mathematics , chemistry , algebra representation , ring (chemistry) , organic chemistry
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., theseProceedings ,55, 243-251 (1966)).