BQ-semigroups of transformations

Robert Sullivan

    Research output: Contribution to journalArticlepeer-review

    4 Citations (Scopus)

    Abstract

    Starting in 2001, Kemprasit and her students showed that certain semigroups of (linear) transformations defined on a set (or on a vector space) belong to BQ : that is, the class of semigroups S in which every bi-ideal of S is a quasi-ideal of S . Here, we unify that work and show that some of it can be derived from a result for abstract semigroups. We also extend their work, and that of Mendes-Gonçalves and Sullivan, to other examples of transformation semigroup.
    Original languageEnglish
    Pages (from-to)59-74
    JournalActa Scientiarum Mathematicarum
    Volume75
    Issue number1
    Publication statusPublished - 2009

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