05856315

j

05856315 Pekhterev, V.O. Structure of the semigroup $OT_n$. Ukr. Mat. Zh. 61, No. 9, 1240-1246 (2009); translation in Ukr. Math. J. 61, No. 9, 1467-1474 (2009). 2009 Instytut Matematyki AN Ukra\"{\i}ny, Ky\"{\i}v UK EN semigroups of transformations Green relations maximal nilpotent subsemigroups

doi:10.1007/s11253-010-0289-7

Summary: We study the structure of the semigroup $OT_n$, which is the unique (up to isomorphism) $\Cal R$-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 generators and maximal subsemigroups.