Bicyclic semigroups of left I-quotients

Details Bicyclic semigroups of left I-quotients Bicyclic semigroups of left I-quotients

2011-07-17

arxiv.org/abs/1107.3303v1

Mathematics

Group Theory

Scientific paper

In this article we study left I-orders in the bicyclic monoid $\mathcal{B}$.
We give necessary and sufficient conditions for a subsemigroup of $\mathcal{B}$
to be a left I-oreder in $\mathcal{B}$. We then prove that any left I-order in
$\mathcal{B}$ is straight.

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