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 


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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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