Dense inverse subsemigroups of a topological inverse semigroup |
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| Authors: | Recep Korkmaz |
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| Affiliation: | (1) Faculty of Science and Letters, Department of Mathematics, Istanbul Technical University, Maslak, İstanbul, Turkey |
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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}. The author would like to thank to the referee for useful suggestions. |
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| Keywords: | Inverse semigroup Munn semigroup Topological semigroup Semilattice Idempotent |
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