RUS  ENG
Full version
JOURNALS // Algebra and Discrete Mathematics // Archive

Algebra Discrete Math., 2003 Issue 3, Pages 82–88 (Mi adm385)

This article is cited in 5 papers

RESEARCH ARTICLE

$\mathcal{H-}$ and $\mathcal{R-}$cross-sections of the full finite semigroup $T_n$

Vasyl Pyekhtyeryev

Department of Mechanics and Mathematics, Kiyv Taras Shevchenko University, 64, Volodymyrska, st.,, 01033, Kiyv, UKRAINE

Abstract: All $\mathcal{H}-$ and $\mathcal{R}-$ cross-sections of the full finite semigroup $T_n$ of all transformations of the set $N=\{1,2,\ldots,n\}$ are described.

Keywords: full finite semigroup, Green relations, cross-sections.

MSC: 20M20, 20M10

Received: 01.07.2003
Revised: 24.10.2003

Language: English



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2026