The Prime Radical of Alternative Rings and Loops
- Authors: Gribov A.V.1
-
Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 223, No 5 (2017)
- Pages: 587-601
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239391
- DOI: https://doi.org/10.1007/s10958-017-3368-6
- ID: 239391
Cite item
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.
About the authors
A. V. Gribov
Lomonosov Moscow State University
Author for correspondence.
Email: alexey.gribov@yandex.ru
Russian Federation, Moscow