English

Bicyclic semigroups of left I-quotients

Group Theory 2011-07-19 v1 Rings and Algebras

Abstract

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

Keywords

Cite

@article{arxiv.1107.3303,
  title  = {Bicyclic semigroups of left I-quotients},
  author = {Nassraddin Ghroda},
  journal= {arXiv preprint arXiv:1107.3303},
  year   = {2011}
}