Structure of the semigroup $OT_n$

• Datum: 2009
• Hauptverfasser: Pekhterev, V. O., Пєхтєрєв, В. O.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2009
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3095
• Назва журналу: 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...