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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.

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Metadaten
Author details:Ilinka DimitrovaORCiDGND, Jörg KoppitzORCiDGND
DOI:https://doi.org/10.1007/s00233-010-9272-8
ISSN:0037-1912
Title of parent work (English):Semigroup forum
Publisher:Springer
Place of publishing:New York
Publication type:Article
Language:English
Year of first publication:2011
Publication year:2011
Release date:2017/03/26
Tag:Maximal subsemigroups; Order-preserving transformations; Order-reversing transformations; Regular semigroups; Transformation semigroups
Volume:82
Issue:1
Number of pages:9
First page:172
Last Page:180
Funding institution:Alexander von Humboldt-Foundation
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
Peer review:Referiert
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