Hollings, Christopher (2007) Partial actions of monoids. Semigroup Forum. pp. 293-316. ISSN 1432-2137
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Published Version: http://dx.doi.org/10.1007/s00233-006-0665-7
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: | 19 Feb 2013 11:33 |
| 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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