Vol. 76, No. 2, 1978

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Uniform representations of congruence schemes

Joel David Berman and George Grätzer

Vol. 76 (1978), No. 2, 301–311
Abstract

A congruence scheme Σ is a finite sequence of polynomials. A nontrivial equational class K is a representation of Σ iff the principal congruences in K can be described in a natural fashion by Σ. In this paper it is shown that a necessary and sufficient condition for a congruence scheme Σ whose polynomials do not contain constants to have a representation is that each polynomial in the sequence be at least binary.

Mathematical Subject Classification
Primary: 08A25, 08A25
Milestones
Received: 21 December 1976
Revised: 10 September 1977
Published: 1 June 1978
Authors
Joel David Berman
George Grätzer