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Article . 2004
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Article . 2004
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Deductive Systems of BCK-Algebras

Deductive systems of BCK-algebras
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2004 Argentina Publisher:Palacký University Olomouc, Olomouc
Authors: Celani, Sergio Arturo;

handle: 11336/242664

Deductive Systems of BCK-Algebras

Abstract

In this paper we shall give some results on irreducible deductive systems in BCK-algebras and we shall prove that the set of all deductive systems of a BCK-algebra is a Heyting algebra. As a consequence of this result we shall show that the annihilator F∗ of a deductive system F is the the pseudocomplement of F. These results are more general than that the similar results given by M. Kondo in [7].

Fil: Celani, Sergio Arturo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Tandil; Argentina. Universidad Nacional del Centro de la Provincia de Buenos Aires; Argentina

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Argentina
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Keywords

Deductive system, Irreducible deductive system, BCK-algebras, BCI-algebras, deductive systems, annihilator, pseudo-complement, Heyting algebras (lattice-theoretic aspects), https://purl.org/becyt/ford/1.1, Heyting algebra, https://purl.org/becyt/ford/1, BCK-algebras, Other algebras related to logic

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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