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Representation of Hilbert algebras and implicative semilattices
Authors:Sergio A Celani
Institution:(1) Departamento de Matemática, Facultad de Ciencias Exactas, Universidad Nacional del Centro and CONICET, Pinto 399, 7000 Tandil, Argentina
Abstract:In this paper we shall give a topological representation for Hilbert algebras that extend the topological representation given by A. Diego in 4]. For implicative semilattices this representation gives a full duality. We shall also consider the representation for Boolean ring.
Keywords:Hilbert algebras                      implicative semilattices                      topological representation                      duality                      Boolean ring
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