On some connections between Boolean algebras and Heyting algebras
Dimitrii E. Pal'chunov, Alain Touraille (1992)
Annales scientifiques de l'Université de Clermont. Mathématiques
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Dimitrii E. Pal'chunov, Alain Touraille (1992)
Annales scientifiques de l'Université de Clermont. Mathématiques
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Sabine Koppelberg (1988)
Acta Universitatis Carolinae. Mathematica et Physica
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Abad Manuel, Cimadamore Cecilia, Díaz Varela José (2009)
Open Mathematics
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In this paper, every monadic implication algebra is represented as a union of a unique family of monadic filters of a suitable monadic Boolean algebra. Inspired by this representation, we introduce the notion of a monadic implication space, we give a topological representation for monadic implication algebras and we prove a dual equivalence between the category of monadic implication algebras and the category of monadic implication spaces.
F. M. Sioson (1965-1966)
Compositio Mathematica
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Radim Bělohlávek (2003)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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