2017
Том 69
№ 7

All Issues

On semigroups of order-preserving transformations of countable linearly ordered sets

Doroshenko V. V.

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 61 (2009), no. 6, pp 859-872.

Citation Example: Doroshenko V. V. On semigroups of order-preserving transformations of countable linearly ordered sets // Ukr. Mat. Zh. - 2009. - 61, № 6. - pp. 723-732.

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