On decomposition of commutative Moufang groupoids
B. V. Novikov
TL;DR
This paper proves that every commutative Moufang groupoid can be decomposed into a semilattice of Archimedean subgroupoids, providing a structural understanding of these algebraic objects.
Contribution
It establishes a novel decomposition theorem for commutative Moufang groupoids into simpler Archimedean components.
Findings
Every commutative Moufang groupoid is a semilattice of Archimedean subgroupoids.
Provides a structural classification of these algebraic structures.
Enhances understanding of the internal composition of Moufang groupoids.
Abstract
We prove that every commutative Moufang groupoid is a semilattice of Archimedean subgroupoids.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Rings, Modules, and Algebras · Fuzzy and Soft Set Theory