Finitely Generated Semigroups

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


This chapter contains basic properties of finitely generated commutative semigroups: Rédei’s Theorem, various finiteness properties, and the Completion Theorem. The results indicate that these semigroups are assembled somehow from cancellative semigroups and nilsemigroups, arranged along a finite semilattice. This similarity to finite semigroups is pursued much further in the next chapter.


Abelian Group Minimal Element Commutative Semigroup Subdirect Product Semi Group 
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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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