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

  • V. V. Doroshenko

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.
Published
25.06.2009
How to Cite
DoroshenkoV. 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, http://umj.imath.kiev.ua/index.php/umj/article/view/3055.
Section
Research articles