Hollings, Christopher (2007) Partial actions of monoids. Semigroup Forum. pp. 293-316. ISSN 1432-2137
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].
Metadata
Authors/Creators: |
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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 |
Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) |
Depositing User: | Ms Diana Hilmer |
Date Deposited: | 09 Nov 2007 14:43 |
Last Modified: | 06 Dec 2023 10:39 |
Published Version: | https://doi.org/10.1007/s00233-006-0665-7 |
Status: | Published |
Refereed: | Yes |
Identification Number: | https://doi.org/10.1007/s00233-006-0665-7 |
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