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Periodica Mathematica Hungarica

, Volume 44, Issue 1, pp 27–44 | Cite as

A construction of commutative nilsemigroups

  • Pierre Antoine Grillet
Article
  • 28 Downloads

Abstract

All commutative nilsemigroups are constructed from congruences on free commutative semigroups.

Keywords

Commutative Semigroup Commutative Nilsemigroups Free Commutative Semigroup 
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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REFERENCES

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    B. D. Arendt and C. J. Stuth, On the structure of commutative periodic semigroups, Pacific J. Math. 35 (1970), 1–6.Google Scholar
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    R. Croisot, Equivalences principales bilatères dans les demi-groupes, J. Math. Pures Appl. (9) 36 (1957) 262–268.Google Scholar
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    P. A. Grillet, A construction of finite commutative nilsemigroups, Comm. in Algebra 19 (11) (1991), 3145–3172.Google Scholar
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    P. A. Grillet, Semigroups, Marcel Dekker, N.Y., 1995.Google Scholar
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    P. A. Grillet, Fully invariant congruences on free commutative semigroups, (to appear in Acta. Sci. Math. (Szeged)).Google Scholar

Copyright information

© Kluwer Academic Publishers 2002

Authors and Affiliations

  • Pierre Antoine Grillet

There are no affiliations available

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