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

  • V. V. Doroshenko


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.
How to Cite
Doroshenko, V. V. “On Semigroups of Order-Preserving Transformations of Countable Linearly Ordered Sets”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, no. 6, June 2009, pp. 723-32, https://umj.imath.kiev.ua/index.php/umj/article/view/3055.
Research articles