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Actions of E-dense semigroups
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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.
Title: Actions of E-dense semigroups
Description:
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.
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