Maximal Inverse Subsemigroups of the Symmetric Inverse Semigroup on a Finite-Dimensional Vector Space

S. Mendes-Goncalves, Robert Sullivan

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    Abstract

    Yang (1999) classified the maximal inverse subsemigroups of all the ideals of the symmetric inverse semigroup I(X) defined on a finite set X . Here we do the same for the semigroup I(V) of all one-to-one partial linear transformations of a finite-dimensional vector space. We also show that I(X) is almost never isomorphic to I(V) for any set X and any vector space V , and prove that any inverse semigroup can be embedded in some I(V).
    Original languageEnglish
    Pages (from-to)1055-1069
    JournalCommunications in Algebra
    Volume34
    Issue number3
    DOIs
    Publication statusPublished - 2006

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