On the lattice of quasivarieties of Sugihara algebras

Studia Logica 45 (3):275 - 280 (1986)
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Abstract

Let S denote the variety of Sugihara algebras. We prove that the lattice (K) of subquasivarieties of a given quasivariety K S is finite if and only if K is generated by a finite set of finite algebras. This settles a conjecture by Tokarz [6]. We also show that the lattice (S) is not modular.

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