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


This chapter gives a construction of finite nilmonoids, which is due to the author [1991N], [2001N] and expands earlier ideas of Arendt & Stuth [1970A]; a shorter account is given in Grillet [1995]. Unlike previous constructions for these semigroups, this is a global construction with a very geometric character, in which nilmonoids are obtained as quotient of free commutative monoids by suitable congruences. It accounts well for various structural features of nilmonoids, such as the greatest pure congruence and the universal group of N\0. A more general construction was given by Grillet [2001N] and applied to fully invariant congruences in [2001F].


Kernel Function Equivalence Relation Corner Point Irreducible Element Universal 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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