We study pseudocompact primitive topological inverse semigroups, describe the structure of pseudocompact primitive topological inverse semigroups, and show that the Tychonoff product of a family of pseudocompact primitive topological inverse semigroups is a pseudocompact topological space. Moreover, we prove that the Stone–Čech compactification of a pseudocompact primitive topological inverse semigroup is a compact primitive topological inverse semigroup.
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Published in Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 56, No. 2, pp. 7–19, April–June, 2013.
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Gutik, O.V., Pavlyk, K.P. Pseudocompact Primitive Topological Inverse Semigroups. J Math Sci 203, 1–15 (2014). https://doi.org/10.1007/s10958-014-2087-5
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DOI: https://doi.org/10.1007/s10958-014-2087-5