Semidirect products of skew braces
Alberto Facchini, Mara Pompili
TL;DR
This paper explores the algebraic structures of digroups and skew braces, focusing on their actions, semidirect products, and ideal commutators to deepen understanding of their properties.
Contribution
It introduces the concepts of action, semidirect product, and commutator of ideals specifically for digroups and skew braces, expanding their theoretical framework.
Findings
Defined action, semidirect product, and commutator for skew braces
Established properties and relations among these concepts
Enhanced the algebraic understanding of skew braces and digroups
Abstract
We study the notions of action, semidirect product and commutator of ideals for digroups and skew braces.
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Taxonomy
TopicsRings, Modules, and Algebras · Commutative Algebra and Its Applications · Homotopy and Cohomology in Algebraic Topology