论文标题

协会拉丁广场是一个小组。一个非常简短的证明

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

论文作者

Kochetkov, Yury

论文摘要

带有符号$ a_1,\ ldots,a_n $的订单$ n $的拉丁正方形可以将其视为集合$ a = \ {a_1,\ ldots,a_n \} $的二进制操作的乘法表。我们证明,如果此操作是关联的,则$ a $是一个组。

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.

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