FPM 2011/2012, vol. 17, no. 1, pp. 189-204

FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2011/2012, VOLUME 17, NUMBER 1, PAGES 189-204

The algebraic and logical geometries of universal algebras (a unified approach)

A. G. Pinus

Abstract

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Using the congruences of free algebras as well as the concepts of a conditional term and an implicit operation, a unifying method for studying algebraic and logically definable subsets of universal algebras is suggested. An overview of the results of the author in this field of research is included.

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