Primitive satisfaction and equational problems for lattices and other algebras

Baker, Kirby A.

doi:10.1090/S0002-9947-1974-0349532-4

Primitive satisfaction and equational problems for lattices and other algebras
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by Kirby A. Baker

Trans. Amer. Math. Soc. 190 (1974), 125-150

DOI: https://doi.org/10.1090/S0002-9947-1974-0349532-4

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Abstract:

This paper presents a general method of solving equational problems in all equational classes of algebras whose congruence lattices are distributive, such as those consisting of lattices, relation algebras, cylindric algebras, orthomodular lattices, lattice-ordered rings, lattice-ordered groups, Heyting algebras, other lattice-ordered algebras, implication algebras, arithmetic rings, and arithmetical algebras.

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