Brandt extensions and primitive topological inverse semigroups

Mathematics – Group Theory

Scientific paper

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11 pages

Scientific paper

10.1155/2010/671401

In the paper we study (countably) compact and (absolutely) $H$-closed
primitive topological inverse semigroups. We describe the structure of compact
and countably compact primitive topological inverse semigroups and show that
any countably compact primitive topological inverse semigroup embeds into a
compact primitive topological inverse semigroup.

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