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Partial actions of monoids

Hollings, Christopher (2007) Partial actions of monoids. Semigroup Forum. pp. 293-316. ISSN 1432-2137

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Abstract

We investigate partial monoid actions, in the sense of Megrelishvili and Schroeder [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].

Item Type: Article
Copyright, Publisher and Additional Information: © 2007 Springer. This is an author produced version of a paper subsequently published in Semigroup Forum. Uploaded in accordance with the publisher's self-archiving policy.
Keywords: weakly left E-ample semigroup, partial monoid action, premorphism, expansion, globalisationInverse-semigroups, Expansion
Academic Units: The University of York > Mathematics (York)
Depositing User: Ms Diana Hilmer
Date Deposited: 09 Nov 2007 14:43
Last Modified: 17 Oct 2013 14:13
Published Version: http://dx.doi.org/10.1007/s00233-006-0665-7
Status: Published
Refereed: Yes
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/3463

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