Prime Radical of Loops and Ω-Loops. I

A. V. Gribov; A. V. Mikhalev

doi:10.1007/s10958-016-2707-3

Prime Radical of Loops and Ω-Loops. I

Autores: Gribov A.¹, Mikhalev A.¹
Afiliações:
1. Moscow State University
Edição: Volume 213, Nº 2 (2016)
Páginas: 145-157
Seção: 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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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.