## Algebraic logic, varieties of algebras, and algebraic varieties (1995)

Citations: | 13 - 5 self |

### BibTeX

@MISC{Plotkin95algebraiclogic,,

author = {B. Plotkin},

title = {Algebraic logic, varieties of algebras, and algebraic varieties},

year = {1995}

}

### OpenURL

### Abstract

Abstract. The aim of the paper is discussion of connections between the three kinds of objects named in the title. In a sense, it is a survey of such connections; however, some new directions are also considered. This relates, especially, to sections 3, 4 and 5, where we consider a field that could be understood as an universal algebraic geometry. This geometry is parallel to universal algebra. In the monograph [51] algebraic logic was used for building up a model of a database. Later on, the structures arising there turned out to be useful for solving several problems from algebra. This is the position which the present paper is written from.