
doi: 10.1007/bf02575016
The author presents a characterization of Hausdorff topologies on the \(\alpha\)-bicyclic semigroup \(W_{\alpha}\) under which \(W_{\alpha}\) is a topological inverse semigroup. Results and conditions are very technical in nature, and the author executes the steps necessary to expose these with substantial precision. The paper concludes with an example to illustrate the main result.
510.mathematics, ordinal number, normal form, topological inverse semigroup, \(\omega \)-semigroup, Hausdorff topologies, Structure of topological semigroups, bisimple, \(\alpha \)-bicyclic semigroup, codegree, Article
510.mathematics, ordinal number, normal form, topological inverse semigroup, \(\omega \)-semigroup, Hausdorff topologies, Structure of topological semigroups, bisimple, \(\alpha \)-bicyclic semigroup, codegree, Article
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