Optimal natural dualities for varieties of Heyting algebras
Studia Logica 56 (1-2):67 - 96 (1996)
| Abstract | The techniques of natural duality theory are applied to certain finitely generated varieties of Heyting algebras to obtain optimal dualities for these varieties, and thereby to address algebraic questions about them. In particular, a complete characterisation is given of the endodualisable finite subdirectly irreducible Heyting algebras. The procedures involved rely heavily on Priestley duality for Heyting algebras. | |||||||||
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Andrzej Sendlewski (1990). Nelson Algebras Through Heyting Ones: I. Studia Logica 49 (1):105 - 126.
B. A. Davey & H. A. Priestley (2012). Canonical Extensions and Discrete Dualities for Finitely Generated Varieties of Lattice-Based Algebras. Studia Logica 100 (1-2):137-161.
Guram Bezhanishvili (2000). Varieties of Monadic Heyting Algebras. Part III. Studia Logica 64 (2):215-256.
Valeria Castaño & Marcela Muñoz Santis (2011). Subalgebras of Heyting and De Morgan Heyting Algebras. Studia Logica 98 (1-2):123-139.
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M. Abad, J. P. Díaz Varela, L. A. Rueda & A. M. Suardíaz (2000). Varieties of Three-Valued Heyting Algebras with a Quantifier. Studia Logica 65 (2):181-198.
Brian A. Davey & Miroslav Haviar (2004). Applications of Priestley Duality in Transferring Optimal Dualities. Studia Logica 78 (1-2):213 - 236.
Guram Bezhanishvili (1998). Varieties of Monadic Heyting Algebras. Part I. Studia Logica 61 (3):367-402.
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