The Immersibility of a Semigroup into a Group

@article{Lambek1951TheIO,
  title={The Immersibility of a Semigroup into a Group},
  author={Joachim Lambek},
  journal={Canadian Journal of Mathematics},
  year={1951},
  volume={3},
  pages={34 - 43}
}
  • J. Lambek
  • Published 1951
  • Mathematics
  • Canadian Journal of Mathematics
A semigroup is a set of elements which is closed under an associative operation, usually called multiplication. When can a semigroup be embedded in a group, i.e., under what condition is it isomorphic to a subset of a group? A necessary condition for immersibility is clearly the so-called cancellation law: 
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