37249
2011
2011
eng
172
180
9
1
82
article
Springer
New York
1
--
--
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On the maximal regular subsemigroups of ideals of order-preserving or order-reversing transformations
We characterize the maximal regular subsemigroups of the ideals of the semigroup of all order-preserving transformations as well as of the semigroup of all order-preserving or order-reversing transformations on a finite ordered set.
Semigroup forum
10.1007/s00233-010-9272-8
0037-1912
wos:2011-2013
WOS:000286640500011
Dimitrova, I (reprint author), SW Univ Neofit Rilski, Fac Math & Nat Sci, Blagoevgrad 2700, Bulgaria., ilinka_dimitrova@yahoo.com; koppitz@rz.uni-potsdam.de
Alexander von Humboldt-Foundation
Ilinka Dimitrova
Jörg Koppitz
eng
uncontrolled
Transformation semigroups
eng
uncontrolled
Regular semigroups
eng
uncontrolled
Order-preserving transformations
eng
uncontrolled
Order-reversing transformations
eng
uncontrolled
Maximal subsemigroups
Institut für Mathematik
Referiert
36309
2012
2012
eng
1821
1826
6
5
40
article
Taylor & Francis Group
Philadelphia
1
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On the monoid of all partial order-preserving extensive transformations
A partial transformation alpha on an n-element chain X-n is called order-preserving if x <= y implies x alpha <= y alpha for all x, y in the domain of alpha and it is called extensive if x <= x alpha for all x in the domain of alpha. The set of all partial order-preserving extensive transformations on X-n forms a semiband POEn. We determine the maximal subsemigroups as well as the maximal subsemibands of POEn.
Communications in algebra
10.1080/00927872.2011.557813
0092-7872
wos:2011-2013
WOS:000304276800016
Koppitz, J (reprint author), Univ Potsdam, Inst Math, D-14469 Potsdam, Germany., koppitz@rz.uni-potsdam.de
SWU-Blagoevgrad [NID-N9/F-7]; DFG [GZ: KO 1546/3-1]
Ilinka Dimitrova
Jörg Koppitz
eng
uncontrolled
Extensive transformation
eng
uncontrolled
Maximal subsemibands
eng
uncontrolled
Maximal subsemigroups
eng
uncontrolled
Rank
eng
uncontrolled
Transformation semigroup
Institut für Mathematik
Referiert