Work

Avoidable Sets in The Bicyclic Inverse Semigroup

Year: 2007
Type: preprint
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.
Language: English
Open Access status: green
OpenAlex ID: W2096470595
Cites: 6
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Related to: 20