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Symmetric inverse topological semigroups of finite rank ≤ n

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We establish topological properties of the symmetric inverse topological semigroup of finite transformations of the rank ≤ n. We show that the topological inverse semigroup is algebraically h -closed in the class of topological inverse semigroups. Also we prove that a topological semigroup S with countably compact square S×S does not contain the semigroup for infinite cardinal λ and show that the Bohr compactification of an infinite topological symmetric inverse semigroup of finite transformations of the rank ≤ n is the trivial semigroup.

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  1. Franko Lviv National University, Lviv, Ukraine

    O. V. Gutik & A. R. Reiter

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  1. O. V. Gutik
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  2. A. R. Reiter
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Published in Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 52, No. 3, pp. 7–14, July–September, 2009.

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Gutik, O.V., Reiter, A.R. Symmetric inverse topological semigroups of finite rank ≤ n . J Math Sci 171, 425–432 (2010). https://doi.org/10.1007/s10958-010-0147-z

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