Constructions of Quandles over Groups, Modules, and Near-Rings
Abstract
Various constructions of generalized Alexander quandles are studied. It is proved that, up to isomorphism, they reduce to two types. Conditions are found under which such quandles are abelian. A construction of an extension of a generalized Alexander quandle to the direct product of two groups is given. Conditions for constructing a quandle over a module and a near-ring are found.
Fields of Study & Subjects
Rings
Modules
and Algebras
Advanced Algebra and Logic
Finite Group Theory Research
Publication details
- Journal / source
- Siberian Mathematical Journal
- Publisher
- Pleiades Publishing Ltd
- Volume
- 67
- Issue
- 1
- Pages
- 18–27
- Publication date
- 1 January 2026
- Language
- EN