On the Classification of Low-Order Idempotent Hom-Groups
Abstract
In this paper, we investigate idempotent hom-groups and their classification. We demonstrate that every idempotent hom-group gives rise to a shelf structure, which in turn yields set-theoretic solutions to the Yang-Baxter equation. We classify idempotent hom-groups of low order, a result achieved through the extension theory developed in this work, with the aid of computational algebra tools.
Fields of Study & Subjects
Advanced Topics in Algebra
Homotopy and Cohomology in Algebraic Topology
Mathematics and Applications
Publication details
- Journal / source
- Experimental Mathematics
- Pages
- 1–15
- Publication date
- 15 January 2026
- Language
- EN