|
Fundamentalnaya i Prikladnaya Matematika, 2014, Volume 19, Issue 2, Pages 25–42
(Mi fpm1576)
|
|
|
|
This article is cited in 2 scientific papers (total in 2 papers)
Prime radical of loops and $\Omega$-loops. I
A. V. Gribov, A. V. Mikhalev Lomonosov Moscow State University, Moscow, Russia
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 $\Omega$-prime radical of $\Omega$-loops is defined and its elementwise characterization is given.
Citation:
A. V. Gribov, A. V. Mikhalev, “Prime radical of loops and $\Omega$-loops. I”, Fundam. Prikl. Mat., 19:2 (2014), 25–42; J. Math. Sci., 213:2 (2016), 145–157
Linking options:
https://www.mathnet.ru/eng/fpm1576 https://www.mathnet.ru/eng/fpm/v19/i2/p25
|
Statistics & downloads: |
Abstract page: | 392 | Full-text PDF : | 149 | References: | 71 |
|