Bicyclic semigroups of left I-quotients
classification
🧮 math.GR
math.RA
keywords
leftmathcalbicyclicarticleconditionsgivei-orderi-orders
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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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