Enlargements of Regular Semigroups

@inproceedings{Lawson2008EnlargementsOR,
  title={Enlargements of Regular Semigroups},
  author={Mark V. Lawson},
  year={2008}
}
Quasi-ideals were introduced by Otto Steinfeld [43] as those non-empty subsets Q of a semigroup T satisfying QTD TQ c Q. When T is regular they are precisely the subsets Q of T which satisfy QTQ = Q ([43, Theorem 9.3]). There are many examples of quasi-ideals in regular semigroup theory. We list below some of the most important: • Every subsemigroup of the form eSe (where e is an idempotent) is a quasi-ideal of S. Such subsemigroups are called local submonoids. • McAlister [30] studies quasi… CONTINUE READING

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