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The rees-suschkewitsch theorem for simple topological semigroups (2009).
| Content Provider | CiteSeerX |
|---|---|
| Author | Banakh, Taras Dimitrova, Svetlana Gutik, Oleg |
| Abstract | We detect topological semigroups that are topological paragroups, i.e., are isomorphic to a Rees product [X × H × Y]σ of a topological group H over topological spaces X, Y with a continuous sandwich function σ: Y × X → H. We prove that a simple topological semigroup S is a topological paragroup if one of the following conditions is satisfied: (1) S is completely simple and the maximal subgroups of S are topological groups, (2) S contains an idempotent and the square S × S is countably compact or pseudocompact, (3) the power S2c is countably compact. The last item generalizes an old Wallace’s result saying that each simple compact topological semigroup is a topological paragroup. |
| File Format | |
| Publisher Date | 2009-01-01 |
| Access Restriction | Open |
| Subject Keyword | Rees-suschkewitsch Theorem Simple Topological Semigroups Topological Paragroup Topological Group Continuous Sandwich Function Rees Product Topological Space Simple Semigroups Compact Semitopological Semigroups Maximal Subgroup Topological Semigroups Topological Paragroups Topological Version Classical Rees-suschkewitsch Theorem Power S2c Sequential Countably Compact Topological Semigroups Algebraic Structure Following Condition Simple Compact Topological Semigroup Simple Topological Semigroup Compact Topological Semigroups Old Wallace Result Last Item |
| Content Type | Text |
