Structure of the semigroup $OT_n$

  • V. O. Pekhterev

Abstract

We study the structure of the semigroup $OT_n$, which is a unique (up to an isomorphism) $R$-section of the semigroup $T_n$. For this semigroup, we describe Green relations, determine regular and nilpotent elements, describe maximal nilpotent subsemigroups, and determine the unique irreducible system of generatrices and maximal subsemigroups.
Published
25.09.2009
How to Cite
PekhterevV. O. “Structure of the Semigroup $OT_n$”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, no. 9, Sept. 2009, pp. 1240-6, https://umj.imath.kiev.ua/index.php/umj/article/view/3095.
Section
Research articles