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Partial Actions of Monoids

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Abstract

We investigate partial monoid actions, in the sense of Megrelishvili and Schroder [12]. These are equivalent to a class of premorphisms, which we call strong premorphisms. We describe two distinct methods for constructing a monoid action from a partial monoid action: the expansion method provides a generalisation of a result of Kellendonk and Lawson [10] in the group case, whilst the approach via globalisation extends results of both [12] and [10].

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  1. Department of Mathematics, University of York, Heslington, York YO10 5DD, UK

    Christopher Hollings

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  1. Christopher Hollings
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Correspondence to Christopher Hollings.

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Hollings, C. Partial Actions of Monoids. Semigroup Forum 75, 293–316 (2007). https://doi.org/10.1007/s00233-006-0665-7

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  • DOI: https://doi.org/10.1007/s00233-006-0665-7

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