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.
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页数：24
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