Congruences on Nilpotent-generated Partial Transformation Semigroups

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

    Research output: Contribution to journalArticle


    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 languageEnglish
    Pages (from-to)229-242
    JournalAlgebra Colloquium
    Issue number2
    Publication statusPublished - 2009

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