Prime Radical of Loops and Ω-Loops. I
- Авторы: Gribov A.1, Mikhalev A.1
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Учреждения:
- Moscow State University
- Выпуск: Том 213, № 2 (2016)
- Страницы: 145-157
- Раздел: 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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Аннотация
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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Об авторах
A. Gribov
Moscow State University
Автор, ответственный за переписку.
Email: alexey.gribov@yandex.ru
Россия, Moscow
A. Mikhalev
Moscow State University
Email: alexey.gribov@yandex.ru
Россия, Moscow