We consider semigroups of endomorphisms of linearly ordered sets ℕ and ℤ and their subsemigroups of cofinite endomorphisms. We study the Green relations, groups of automorphisms, conjugacy, centralizers of elements, growth, and free subsemigroups in these subgroups.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, No. 6, pp. 723–732, June, 2009.
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Doroshenko, V.V. On semigroups of order-preserving transformations of countable linearly ordered sets. Ukr Math J 61, 859–872 (2009). https://doi.org/10.1007/s11253-009-0256-3
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DOI: https://doi.org/10.1007/s11253-009-0256-3