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Embedding of topological semigroups in simple semigroups. (Russian) Zbl 0928.22004
Summary: Any topological (inverse) semigroup is embedded into a simple topological (inverse) semigroup. The R. H. Bruck semigroup [A survey of binary systems, Berlin-Heidelberg-New York: Springer-Verlag (1966; Zbl 0141.01401)] of a topological inverse semigroup with minimal idempotent admits the only direct sum topology.

MSC:
22A15 Structure of topological semigroups
20M18 Inverse semigroups
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