An associative Latin square is a group. A very short proof

Autor:	Kochetkov, Yury
Rok vydání:	2022
Předmět:	Mathematics - History and Overview Mathematics - Group Theory
Druh dokumentu:	Working Paper
Popis:	A Latin square of order $n$ with symbols $a_1,\ldots,a_n$ can be considered as a multiplication table for binary operation in the set $A=\{a_1,\ldots,a_n\}$. We prove that, if this operation is associative, then $A$ is a group. Comment: 2 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2208.14806 Zobrazit plný text záznamu View this record from Arxiv