English

On the Classification of $n$-Valued Monoids and Groups of Order 3

Group Theory 2025-11-26 v2 Rings and Algebras

Abstract

The article presents a complete classification of nn-valued monoids and groups of order 3. Important corollaries of this result are discussed.

Keywords

Cite

@article{arxiv.2508.04454,
  title  = {On the Classification of $n$-Valued Monoids and Groups of Order 3},
  author = {Mikhail Kornev},
  journal= {arXiv preprint arXiv:2508.04454},
  year   = {2025}
}

Comments

The paper has been thoroughly revised to fix minor inaccuracies and typos. In particular, the Proposition and Corollary 5 have been corrected