Splittings of lattices of quasivarieties

Bulletin of the Section of Logic 10 (3):128-129 (1981)
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Abstract

A lattice L is split by a pair ha; bi, a; g 2 L i b is the smallest element of the set fx 2 L : x 6 sg or equivalently i = ; and = L. The concept of splitting is due to R. N. McKenzie [2] who characterized splittings of the lattice of all varieties of lattices. In a more general setting the concept was studied by A. Day in [1]. Our aim is to investigate splittings of the lattice of subquasivarieties of a quasivariety

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