Beiträge zur Algebra und GeometrieContributions to Algebra and Geometry
Vol. 48, No. 1, pp. 257-280 (2007)
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Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 48, No. 1, pp. 257-280 (2007) |
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Uncountable families of partial clones containing maximal clonesLucien Haddad and Dietlinde LauDépartement de Mathématiques et d'Informatique, Collège Militaire Royal du Canada, boite postale 17000, STN Forces, Kingston ON K7K 7B4, Canada e-mail: haddad-l@rmc.ca; Institut für Mathematik, Universität Rostock, Universitätsplatz 1, D-18055 Rostock, Germany e-mail: dietlinde.lau@uni-rostock.deAbstract: Let $A$ be a non singleton finite set. We show that every maximal clone determined by a prime affine or $h$-universal relation on $A$ is contained in a family of partial clones on $A$ of continuum cardinality. Keywords: partial clones, maximal clones, partial algebras Keywords: partial clones, maximal clones, partial algebras Classification (MSC2000): 03B50, 08A40, 08A55 Full text of the article:
Electronic version published on: 14 May 2007. This page was last modified: 27 Jan 2010.
© 2007 Heldermann Verlag
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