Abstract
We introduce a preorder for universal algebras with respect to their geometries. This naturally leads to the notion of the geometric scale for a variety of algebras. We investigate connections between the introduced relation and infinite quasi-identities that hold in algebras, as well as other properties of the relation and the scale.
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Original Russian Text © A. G. Pinus, 2009, published in Matematicheskie Trudy, 2009, Vol. 12, No. 2, pp. 160–169.
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Pinus, A.G. Geometric scales for varieties of algebras and quasi-identities. Sib. Adv. Math. 20, 217–222 (2010). https://doi.org/10.3103/S1055134410030065
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DOI: https://doi.org/10.3103/S1055134410030065