2017
DOI: 10.1007/s00012-017-0451-2
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Spectral-like duality for distributive Hilbert algebras with infimum

Abstract: Distributive Hilbert algebras with infimum, or DH ∧ -algebras for short, are algebras with implication and conjunction, in which the implication and the conjunction do not necessarily satisfy the residuation law. These algebras do not fall under the scope of the usual duality theory for lattice expansions, precisely because they lack residuation. We propose a new approach, that consists of regarding the conjunction as the additional operation on the underlying implicative structure. In this paper, we introduce… Show more

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“…Algunas de las construcciones y propiedades desarrolladas en este capítulo fueron inspiradas por [12,11]. Como segundo objetivo damos un teorema de representación para ShIS.…”
Section: Capítulounclassified
“…Algunas de las construcciones y propiedades desarrolladas en este capítulo fueron inspiradas por [12,11]. Como segundo objetivo damos un teorema de representación para ShIS.…”
Section: Capítulounclassified