Geodesic
The dimension of a variety
Discussiones Mathematicae. General Algebra and Applications, Tome 27 (2007) no. 1, pp. 35-47

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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 V_σ 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.
Keywords: derived algebras, derived varieties, the dimension of a variety 
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Graczyńska, Ewa; Schweigert, Dietmar. The dimension of a variety. Discussiones Mathematicae. General Algebra and Applications, Tome 27 (2007) no. 1, pp. 35-47. http://geodesic.mathdoc.fr/item/DMGAA_2007_27_1_a1/