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Dense inverse subsemigroups of a topological inverse semigroup

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Abstract

In this paper we study dense inverse subsemigroups of topological inverse semigroups. We construct a topological inverse semigroup from a semilattice. Finally, we give two examples of the closure of B 1( −∞, ∞ ) , a topological inverse semigroup obtained by starting with the real numbers as a semilattice with the operation a ∨ b=sup{a,b}.

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References

  1. Howie, J.M.: An Introduction to Semigroup Theory. Academic, New York (1976)

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  2. Clifford, A.H., Preston, G.B.: Algebraic Theory of Semigroups. Am. Math. Colloq. Series. Am. Math. Soc., Providence (1957)

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  3. Korkmaz, R.: On the closure of B 2(−∞,∞) . Semigroup Forum 54, 166–174 (1997)

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  4. Ahre, K.R.: On the closure of B 1[0,∞) . Bull. Tech. Univ. İstanbul 36, 553–562 (1983)

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Authors and Affiliations

  1. Faculty of Science and Letters, Department of Mathematics, Istanbul Technical University, Maslak, İstanbul, Turkey

    Recep Korkmaz

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  1. Recep Korkmaz
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Correspondence to Recep Korkmaz.

Additional information

Communicated by Jimmie D. Lawson.

The author would like to thank to the referee for useful suggestions.

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Korkmaz, R. Dense inverse subsemigroups of a topological inverse semigroup. Semigroup Forum 78, 528–535 (2009). https://doi.org/10.1007/s00233-009-9136-2

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  • DOI: https://doi.org/10.1007/s00233-009-9136-2

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