Elementary Properties

  • P. A. Grillet
Part of the Advances in Mathematics book series (ADMA, volume 2)


This chapter contains basic first properties of commutative semigroups: idempotents, subsemigroups, homomorphisms and congruences, ideals, ideal extensions, ℋ-classes and Schützenberger groups, free commutative semigroups, presentations. It is written for readers who are not familiar with semigroups and can therefore expect a few surprises.


Maximal Subgroup Identity Element Zero Element Commutative Semigroup Positive Power 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • P. A. Grillet
    • 1
  1. 1.Tulane UniversityNew OrleansUSA

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