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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Primitive satisfaction and equational problems for lattices and other algebras

Author: Kirby A. Baker
Journal: Trans. Amer. Math. Soc. 190 (1974), 125-150
MSC: Primary 08A15; Secondary 06A70
MathSciNet review: 0349532
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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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Keywords: Equational problem, equational class, variety, congruence lattice, lattice, lattice-ordered algebra
Article copyright: © Copyright 1974 American Mathematical Society