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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
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