Faculty Publications
A Characterization Of The Jacobson Radical In Ternary Algebras
Document Type
Article
Journal/Book/Conference Title
Proceedings of the American Mathematical Society
Volume
38
Issue
2
First Page
228
Last Page
234
Abstract
The Jacobson radical Rad T for a ternary algebra T is characterized as one of the following: (i) the set of properly quasi-invertible elements in T; (ii) the set of xe T such that the principal right ideal (xTT) or left ideal (TTx) is quasi-regular in T; (iii) the unique maximal quasi-regular ideal in T; (iv) the set of T such that Rad T(x) = T(x). We also obtain ternary algebra analogs of characterization of the radicals of certain subalgebras in an associative algebra. © 1973 American Mathematical Society.
Department
Department of Mathematics
Original Publication Date
1-1-1973
DOI of published version
10.1090/S0002-9939-1973-0335582-5
Recommended Citation
Myung, Hyo Chul, "A Characterization Of The Jacobson Radical In Ternary Algebras" (1973). Faculty Publications. 5122.
https://scholarworks.uni.edu/facpub/5122
