Bisimple monogenic orthodox semigroups
Simon M. Goberstein

TL;DR
This paper provides a comprehensive structural description of all bisimple orthodox semigroups generated by two mutually inverse elements, advancing the understanding of their algebraic properties.
Contribution
It offers a complete classification of bisimple orthodox semigroups generated by two mutually inverse elements, filling a gap in algebraic semigroup theory.
Findings
Complete structural description of the semigroups.
Characterization of generators and relations.
New insights into the algebraic properties of these semigroups.
Abstract
We give a complete description of the structure of all bisimple orthodox semigroups generated by two mutually inverse elements.
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