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Partial actions of monoids

By Christopher Hollings

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]

Year: 2007
DOI identifier: 10.1007/s00233-006-0665-7
OAI identifier: oai:eprints.whiterose.ac.uk:3463

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