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covers of monoids

Proceedings of the Edinburgh Mathematical Society (1)

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PROPER COVERS OF AMPLE MONOIDS
John Fountain, Gracinda M. S. Gomes
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 49 / Issue 2 / June 2006

Published online by Cambridge University Press:

30 May 2006, pp. 277-289
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Proper ample monoids are described by means of a certain category acted upon on both sides by a cancellative monoid. Making use of this characterization, we show that every ample monoid $S$ has a proper ample cover, which can be taken to be finite whenever $S$ is finite.