Faculty Publications
Title
A generalization of the prime radical in n on associ at ive rings
Document Type
Article
Journal/Book/Conference Title
Pacific Journal of Mathematics
Volume
42
Issue
1
First Page
187
Last Page
193
Abstract
In [5] Tsai defined the Brown-McCoy prime radical for Jordan rings in terms of the quadratic operation and proved basic results for the radical. In this paper we give a definition of the prime radical for arbitrary nonassociative rings in terms of a ^-operation defined on the family of ideals and of a function/of the ring into the family of ideals in the ring. The prime radical for Jordan or standard rings is obtained by a particular choice of the ^-operation and the function /. We also extend the results for the Jordan case to weakly Inadmissible rings which include the generalized standard rings and therefore alternative and standard rings as well as Jordan rings. © 1972, Pacific Journal of Mathematics.
Original Publication Date
1-1-1972
DOI of published version
10.2140/pjm.1972.42.187
Recommended Citation
Myung, Hyo Chul, "A generalization of the prime radical in n on associ at ive rings" (1972). Faculty Publications. 5133.
https://scholarworks.uni.edu/facpub/5133