Congruences on Nilpotent-generated Partial Transformation Semigroups

M.P.O. Marques-Smith; Robert Sullivan

doi:10.1142/S1005386709000236

Congruences on Nilpotent-generated Partial Transformation Semigroups

M.P.O. Marques-Smith, Robert Sullivan

Research output: Contribution to journal › Article › peer-review

Abstract

In 1987, Sullivan characterised the elements of the semigroup NP(X) generated by the nilpotents in P(X), the semigroup (under composition) consisting of all partial transformations of a set X; and in 1999, Marques-Smith and Sullivan determined all the ideals of NP(X) for arbitrary X. In this paper, we use that work to describe all the congruences on NP(X)

Original language	English
Pages (from-to)	229-242
Journal	Algebra Colloquium
Volume	16
Issue number	2
DOIs	https://doi.org/10.1142/S1005386709000236
Publication status	Published - 2009

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abstract = "In 1987, Sullivan characterised the elements of the semigroup NP(X) generated by the nilpotents in P(X), the semigroup (under composition) consisting of all partial transformations of a set X; and in 1999, Marques-Smith and Sullivan determined all the ideals of NP(X) for arbitrary X. In this paper, we use that work to describe all the congruences on NP(X)",

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AB - In 1987, Sullivan characterised the elements of the semigroup NP(X) generated by the nilpotents in P(X), the semigroup (under composition) consisting of all partial transformations of a set X; and in 1999, Marques-Smith and Sullivan determined all the ideals of NP(X) for arbitrary X. In this paper, we use that work to describe all the congruences on NP(X)

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JO - Algebra Colloquium

JF - Algebra Colloquium

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Congruences on Nilpotent-generated Partial Transformation Semigroups

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