Actions of E-dense semigroups
Actions of E-dense semigroups
We describe the structure of $E-$dense acts over $E-$dense semigroups in an analogous way to that for inverse semigroup acts over inverse semigroups. This is based, to a large extent, on the work of Schein on representations of inverse semigroups by partial one-to-one maps. We also study cancellative actions of semigroups as a type of generalisation of group actions and characterise locally free cancellative acts over $E-$dense semigroups that are also $E-$unitary.
Semigroup, monoid, E-dense, E-inversive, E-unitary, semigroup acts, E-dense acts
Renshaw, Jim
350100c1-f7c7-44d3-acfb-29b94f21731c
Renshaw, Jim
350100c1-f7c7-44d3-acfb-29b94f21731c
Abstract
We describe the structure of $E-$dense acts over $E-$dense semigroups in an analogous way to that for inverse semigroup acts over inverse semigroups. This is based, to a large extent, on the work of Schein on representations of inverse semigroups by partial one-to-one maps. We also study cancellative actions of semigroups as a type of generalisation of group actions and characterise locally free cancellative acts over $E-$dense semigroups that are also $E-$unitary.
Text
E-dense
- Accepted Manuscript
More information
Accepted/In Press date: 27 October 2025
e-pub ahead of print date: 5 November 2025
Keywords:
Semigroup, monoid, E-dense, E-inversive, E-unitary, semigroup acts, E-dense acts
Identifiers
Local EPrints ID: 506270
URI: http://eprints.soton.ac.uk/id/eprint/506270
ISSN: 0037-1912
PURE UUID: 48f98711-1957-48b2-ac88-97af4845ab90
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Date deposited: 31 Oct 2025 17:51
Last modified: 07 Nov 2025 02:32
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