Algebraic Logic, Varieties of Algebras and Algebraic Varieties

Abstract

The aim of the paper is to discuss the relations between the three kinds of objects named in the title. In a sense, this is a survey of such relations; however, some new directions are also considered. This relates, especially, to sections 3, 4 and 5, where we consider the universal algebraic geometry. This geometry is parallel to universal algebra.

62pp

Cited by in corpus (9)

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• The group of automorphisms of the category of free associative algebras
• Action Type Geometrical Equivalence of Representations of Groups
• Geometrical equivalence, geometrical similarity and geometrical compatibility of algebras
• Geometrical equivalence of nilpotent torsion free groups
• The group of automorphisms of semigroup End
• Automorphisms of the category of free Lie algebras
• On noetherianity for logical formulas over fields
• The problem of the classification of the nilpotent class 2 torsion free groups up to the geometrically equivalence