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ArticleOriginal scientific text

Title

Binary relations on the monoid of V-proper hypersubstitutions

Authors 1, 1

Affiliations

  1. Universität Potsdam, Institute of Mathematics, Am Neuen Palais, 14415 Potsdam, Germany

Abstract

In this paper we consider different relations on the set P(V) of all proper hypersubstitutions with respect to a given variety V and their properties. Using these relations we introduce the cardinalities of the corresponding quotient sets as degrees and determine the properties of solid varieties having given degrees. Finally, for all varieties of bands we determine their degrees.

Keywords

ENG
solid variety, degree of proper hypersubstitutions, isomorphism degree of proper hypersubstitutions

Bibliography

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Discussiones Mathematicae - General Algebra and Applications
2006/26/2
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Pages:
233-251
Main language of publication
English
Received
2006-10-26
Accepted
2006-11-06
Published
2006

DOI: 10.7151/dmgaa.1114

Exact and natural sciences