Beitr\ EMIS ELibM Electronic Journals 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 clones

Lucien Haddad and Dietlinde Lau

Département de Mathématiques et d'Informatique, Collège Militaire Royal du Canada, boite postale 17000, STN Forces, Kingston ON K7K 7B4, Canada e-mail:; Institut für Mathematik, Universität Rostock, Universitätsplatz 1, D-18055 Rostock, Germany e-mail:

Abstract: 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

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Electronic version published on: 14 May 2007. This page was last modified: 27 Jan 2010.

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