Avoidable Sets in The Bicyclic Inverse Semigroup
Combinatorics
2007-06-26 v1 Group Theory
Abstract
A subset of a set with a binary operation is called {\it avoidable} if can be partitioned into two subsets and such that no element of can be written as a product of two distinct elements of or as the product of two distinct elements of . The avoidable sets of the bicyclic inverse semigroup are classified.
Cite
@article{arxiv.0706.3535,
title = {Avoidable Sets in The Bicyclic Inverse Semigroup},
author = {Nandor Sieben},
journal= {arXiv preprint arXiv:0706.3535},
year = {2007}
}