Email this article Prime Radical of Loops and Ω-Loops. I
- Authors: Gribov A.V.1, Mikhalev A.V.1
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Affiliations:
- Moscow State University
- Issue: Vol 213, No 2 (2016)
- Pages: 145-157
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237146
- DOI: https://doi.org/10.1007/s10958-016-2707-3
- ID: 237146
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Abstract
In this paper, main properties of a commutator of two normal subloops of a loop are considered. The notion of a prime radical of loops is introduced and its characterization as a set of strongly Engel elements is given. Also an Ω-prime radical of Ω-loops is defined and its elementwise characterization is given.
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About the authors
A. V. Gribov
Moscow State University
Author for correspondence.
Email: alexey.gribov@yandex.ru
Russian Federation, Moscow
A. V. Mikhalev
Moscow State University
Email: alexey.gribov@yandex.ru
Russian Federation, Moscow
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