An algebraic approach to the Heyting-Brouwer predicate calculus
Cecylia Rauszer (1977)
Fundamenta Mathematicae
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Cecylia Rauszer (1977)
Fundamenta Mathematicae
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Compositio Mathematica
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Roman Sikorski (1961)
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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.
L. Szczerba (1973)
Fundamenta Mathematicae
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