Algebraic structures from the point of view of complete multiplicative lattices
Group Theory
2022-04-26 v3 Rings and Algebras
Abstract
General results on multiplicative lattices found recently by Facchini, Finocchiaro and Janelidze have been studied in the particular case of groups by Facchini, de Giovanni and Trombetti. In this paper we prove that these results hold not only for the multiplicative lattices of all normal subgroups of a group, but also for much more general multiplicative lattices. Therefore they can be applied to other algebraic structures, for instance to braces.
Cite
@article{arxiv.2201.03295,
title = {Algebraic structures from the point of view of complete multiplicative lattices},
author = {Alberto Facchini},
journal= {arXiv preprint arXiv:2201.03295},
year = {2022}
}