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arXiv · 1602.05694

On a finite subsemigroup of semigroups in which x^r=x

Jungin Lee
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Abstract

In this paper, we consider the following problem: For every positive integer $r \geq 2$, find all positive integers $n$ such that for every semigroup of order $\geq n$ in which $x^r=x$ for every element $x$ has a subsemigroup of order $n$.

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Jungin Lee. 2016-02-18. On a finite subsemigroup of semigroups in which x^r=x. https://arxiv.org/abs/1602.05694

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