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Algebraic Logic, Varieties of Algebras and Algebraic Varieties

B. Plotkin
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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.

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B. Plotkin. 2003-12-23. Algebraic Logic, Varieties of Algebras and Algebraic Varieties. https://arxiv.org/abs/math/0312420

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