Multiplicative lattices, idempotent endomorphisms, and left skew braces

被引：0

作者：

Facchini, Alberto ^{[1
]}

Pompili, Mara ^{[2
]}

机构：

[1] Univ Padua, Dipartimento Matemat Tullio Levi Civita, I-35121 Padua, Italy

[2] Karl Franzens Univ Graz, Inst Math & Sci Comp NAWI Graz, Graz, Austria

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2024年 / 23卷 / 08期

基金：

奥地利科学基金会;

关键词：

Multiplicative lattice; Skew brace; Idempotent endomorphism; Commutator; Semidirect product; COMMUTATORS; EXTENSIONS; RINGS;

D O I：

10.1142/S0219498825500409

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that, making use of multiplicative lattices and idempotent endomorphisms of an algebraic structure A, it is possible to derive several notions concerning A in a natural way. The multiplicative lattice necessary here is the complete lattice of congruences of A with multiplication given by commutator of congruences. Our main application is to the study of some notions concerning left skew braces.

引用

页数：24

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