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The Prime Radical in a Jordan Ring

1968
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Proceedings of the American Mathematical Society
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There are several definitions of radicals for general nonassociative rings given in literature, e.g. [l], [2] , and [5] . The M-prime radical of Brown-McCoy which is given in [2] , is similar to the prime radical in an associative ring. However, it depends on the particular chosen element u. The purpose of this paper is to give a definition for the Brown-McCoy type prime radical for Jordan rings so that the radical will be independent from the element chosen. Let / be a Jordan ring, x be an

doi:10.2307/2036054
fatcat:rq5hfuqsyzautjaczaojc65sha