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arXiv · 0706.3535

Avoidable Sets in The Bicyclic Inverse Semigroup

Nandor Sieben
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Abstract

A subset $U$ of a set $S$ with a binary operation is called {\it avoidable} if $S$ can be partitioned into two subsets $A$ and $B$ such that no element of $U$ can be written as a product of two distinct elements of $A$ or as the product of two distinct elements of $B$. The avoidable sets of the bicyclic inverse semigroup are classified.

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Nandor Sieben. 2007-06-24. Avoidable Sets in The Bicyclic Inverse Semigroup. https://arxiv.org/abs/0706.3535

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