α-Inflatable semigroups |
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Authors: | Hanson Umoh |
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Institution: | (1) Department of Mathematics, Delaware State College, 19901 Dover, DE, USA |
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Abstract: | For α∈N with α≥2, we define and characterize α-inflatable semigroups,S and establish that the product (βS/S,·)·(βS/S,·) of Stone-Ĉech remainders does not contain the closure of the minimal ideal of (βS,·), the Stone-Ĉech compactification ofS. From this result, one can easily derive Ruppert's result that the minimal ideal of a compact left-topological semigroup
is not necessarily closed.
The author gratefully acknowledges support from Delaware State College under Grant No. 6769. |
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Keywords: | |
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