2018
Том 70
№ 7

# Structure of the semigroup $OT_n$

Pekhterev V. O.

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.

English version (Springer): Ukrainian Mathematical Journal 61 (2009), no. 9, pp 1467-1474.

Citation Example: Pekhterev V. O. Structure of the semigroup $OT_n$ // Ukr. Mat. Zh. - 2009. - 61, № 9. - pp. 1240-1246.

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