This article is cited in 2 papers

The prime radical of alternative rings and loops

A. V. Gribov

Lomonosov Moscow State University

Abstract: A characterization of the prime radical of loops as the set of strongly Engel elements was given in our earlier paper. In this paper, some properties of the prime radical of loops are considered. Also a connection between the prime radical of the loop of units of an alternative ring and the prime radical of this ring is given.

UDC: 512.548.77+512.554.5

 English version: Journal of Mathematical Sciences (New York), 2017, 223:5, 587–601

Bibliographic databases:

• 
•