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Gutik, O. V.; Maksymyk, K. M.
Journal of mathematical sciences, 08/2022, Letnik: 265, Številka: 3Journal Article
It is shown that every Hausdorff locally compact semigroup topology on the extended bicyclic semigroup with adjoined zero C ℤ 0 is discrete. At the same time, on C ℤ 0 , there exist 𝔠 different Hausdorff locally compact shift-continuous topologies. In addition, on C ℤ 0 , we construct a unique minimal shift-continuous topology and a unique minimal inverse semigroup topology.
