Studia Logica 65 (2):181-198 (2000)

This paper is devoted to the study of some subvarieties of the variety Q of Q-Heyting algebras, that is, Heyting algebras with a quantifier. In particular, a deeper investigation is carried out in the variety Q subscript 3 of three-valued Q-Heyting algebras to show that the structure of the lattice of subvarieties of Q is far more complicated that the lattice of subvarieties of Heyting algebras. We determine the simple and subdirectly irreducible algebras in Q subscript 3 and we construct the lattice of subvarieties lambda (Q subscript 3) of the variety Q subscript 3
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DOI 10.1023/a:1005211613539
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Linear Heyting Algebras with a Quantifier.Laura Rueda - 2001 - Annals of Pure and Applied Logic 108 (1-3):327-343.

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