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Cancellation in the Stone–Čech compactification of a discrete semigroup
Published online by Cambridge University Press: 20 January 2009
Abstract
We investigate both left and right cancellation in the Stone–Čech compactification βS of a discrete semigroup S, obtaining several results for arbitrary semigroups S and others for more restricted semigroups. In particular, if S is the semigroup of injective functions from a set to itself we determine precisely which pairs x, y and S have some p∈βS with px = py. We also obtain several new results about right cancellation in (βℕ, +).
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 37 , Issue 3 , October 1994 , pp. 379 - 397
- Copyright
- Copyright © Edinburgh Mathematical Society 1994
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