This article is cited in 6 papers

New algebraic invariants for definable subsets in universal algebra

A. G. Pinus

Novosibirsk, Russia

Abstract: 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.

Keywords: variety of algebras, conditional algebraic geometries, geometric scales of varieties.

UDC: 512.56

Received: 23.10.2009
Revised: 29.07.2010

 English version: Algebra and Logic, 2011, 50:2, 146–160

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