Algebraic structures derived from BCK-algebras

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BCK-Algebras and Related Algebraic Systems

1 Department of Mathematics Education, Gyeongsang National University, Chinju 660-701, Republic of Korea 2 Department of Algebra and Geometry, Faculty of Sciences, Palacky University (UP), 771 47 Olomouc, Czech Republic 3 Department of Mathematics, Hanyang University, Seoul 133-791, Republic of Korea 4 Department of Mathematics Education, Chinju National University of Education, Chinju 660-756,...

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BCK-algebras arising from block codes

In this paper, we will provide an algorithm which allows us to find a BCK-algebra starting from a given binary block code.

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Neutrosophic N-Structures Applied to BCK/BCI-Algebras

Neutrosophic N -structures with applications in BCK/BCI-algebras is discussed. The notions of a neutrosophic N -subalgebra and a (closed) neutrosophic N -ideal in a BCK/BCI-algebra are introduced, and several related properties are investigated. Characterizations of a neutrosophic N -subalgebra and a neutrosophic N -ideal are considered, and relations between a neutrosophic N -subalgebra and a ...

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Filteristic soft BCK-algebras

We study the soft sets applied on the structure of filters of BCK-algebras. A connection between soft BCK-algebras and filteristic soft BCK-algebras is given also. Finally, important operations such as intersection, union, “AND”, “OR”, and subset operations of soft filters and filteristic soft BCK-algebras are investigated.

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Negation and BCK-algebras

In this paper we consider twelve classical laws of negation and study their relations in the context of BCKalgebras. A classification of the laws of negation is established and some characterizations are obtained. For example, using the concept of translation we obtain some characterizations of Hilbert algebras and commutative BCK-algebras with minimum. As a consequence we obtain a theorem rela...

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ژورنال

عنوان ژورنال: Miskolc Mathematical Notes

سال: 2007

ISSN: 1787-2405,1787-2413

DOI: 10.18514/mmn.2007.150