Structure of the semigroup $OT_n$

• Date: 2009
• Main Authors: Pekhterev, V. O., Пєхтєрєв, В. O.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2009
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3095
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 syste...