The dimension of a variety
Ewa Graczyńska ; Dietmar Schweigert
Discussiones Mathematicae - General Algebra and Applications, Tome 27 (2007), p. 35-47 / Harvested from The Polish Digital Mathematics Library
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Derived varieties were invented by P. Cohn in [4]. Derived varieties of a given type were invented by the authors in [10]. In the paper we deal with the derived variety Vσ of a given variety, by a fixed hypersubstitution σ. We introduce the notion of the dimension of a variety as the cardinality κ of the set of all proper derived varieties of V included in V. We examine dimensions of some varieties in the lattice of all varieties of a given type τ. Dimensions of varieties of lattices and all subvarieties of regular bands are determined.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:276936 
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Ewa Graczyńska; Dietmar Schweigert. The dimension of a variety. Discussiones Mathematicae - General Algebra and Applications, Tome 27 (2007) pp. 35-47. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1117/

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