Answers are grounded in this paper and cite their sources.
Analysis of generalized Alexander quandles reveals two isomorphism types, with implications for abelian structures.
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.
No takes yet. Share an insight, caveat, or question.
Borodin et al. (2026) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: