Partial orders induced by quasilinear clones

Reference : Partial orders induced by quasilinear clones


	Document type :	Scientific congresses, symposiums and conference proceedings : Paper published in a book
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/3294

Title :	Partial orders induced by quasilinear clones
Language :	English
Author, co-author :	Lehtonen, Erkko [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Computer Science and Communications Research Unit (CSC) >]
	Szendrei, Ágnes [University of Colorado at Boulder, USA]
Publication date :	2012
Main document title :	Proceedings of the Salzburg Conference 2011 (AAA81)
Editor :	Czermak, J.
	Dorfer, G.
	Eigenthaler, G.
	Müller, W. B.
	Schoissengeier, J.
Publisher :	Verlag Johannes Heyn
Collection and collection volume :	Contributions to General Algebra; 20
Pages :	51-84
Peer reviewed :	Yes
On invitation :	No
Audience :	International
ISBN :	978-3-7084-0447-9
City :	Klagenfurt
Country :	Austria
Event name :	81st Workshop on General Algebra (AAA 81)
Event date :	February 3-6, 2011
Event place (city) :	Salzburg
Event country :	Austria
Keywords :	[en] clone ; minor ; semimodule ; Burle's clone
Abstract :	[en] We find sufficient conditions for a subclone C of Burle's clone and for a subclone of the polynomial clone of a finite semimodule to have the property that the associated C-minor partial order has finite principal ideals. We also prove that for these clones the C-minor partial order is universal for the class of countable partial orders whose principal ideals are finite.
Permalink :	http://hdl.handle.net/10993/3294
Commentary :	20 Contributions to General Algebra

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