Characterization of Simplicity and Cancellativity in βS |
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| Authors: | Neil Hindman Dona Strauss |
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| Institution: | (1) Department of Mathematics, Howard University, Washington, DC 20059, USA;(2) Mathematics Centre, University of Hull, Hull HU6 7RX, UK |
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| Abstract: | We determine precisely when the Stone-Cech compactification βS of a discrete semigroup S is simple and when it is left cancellative
or right cancellative. As a consequence we see that βS is cancellative only when it is trivially so. That is, βS is cancellative
if and only if S is a finite group. |
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