We consider problems of comparing universal algebras in respect of their conditional algebraic geometries. Such comparisons admit of a quite natural algebraic interpretation. Geometric scales for varieties of algebras constructed based on these relations are a natural tool for classifying the varieties of algebras, discriminator varieties in particular.
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Translated from Algebra i Logika, Vol. 50, No. 1, pp. 209–230, March-April, 2010.
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Pinus, A.G. New algebraic invariants for definable subsets in universal algebra. Algebra Logic 50, 146–160 (2011). https://doi.org/10.1007/s10469-011-9129-6
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DOI: https://doi.org/10.1007/s10469-011-9129-6