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Algebraic structures from the point of view of complete multiplicative lattices

2022/01/10 by Alberto Facchini, Facchini, Alberto
Engineering · Mathematics · #06B75 #16T25 #20A99 #22F05 #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2201.03295

openalex publication_date 2022/01/10 · openalex created_date 2022/04/03 · openalex updated_date 2026/07/28

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.

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