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  • Globalization of partial actions of semigroups
    Kudryavtseva, Ganna ; Laan, Valdis
    We propose two universal constructions of globalization of a partial action of a semigroup on a set, satisfying certain conditions which arise in Morita theory of semigroups. One of the constructions ... is based on the tensor product of a partial semigroup act with the semigroup and generalizes the globalization construction of strong partial actions of monoids due to Megrelishvili and Schröder. It produces the initial object in an appropriate category of globalizations of a given partial action. The other construction involves Hom-sets and is novel even in the monoid setting. It produces the terminal object in an appropriate category of globalizations. While in the group case the results of the two constructions are isomorphic, they can be far different in the monoid case.
    Source: Semigroup forum. - ISSN 0037-1912 (Vol. 107, iss. 1, Aug. 2023, str. 200-217)
    Type of material - article, component part ; adult, serious
    Publish date - 2023
    Language - english
    COBISS.SI-ID - 155578883

    Link(s):

    https://link.springer.com/article/10.1007/s00233-023-10364-z
    DiRROS - Digital repository of Slovenian research organizations
    Repository of the University of Ljubljana – RUL
    DOI

source: Semigroup forum. - ISSN 0037-1912 (Vol. 107, iss. 1, Aug. 2023, str. 200-217)
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