Deductive systems of BCK-algebras

Sergio A. Celani

Annihilators in BCK-algebras

Radomír Halaš (2003)

Czechoslovak Mathematical Journal

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We introduce the concepts of an annihilator and a relative annihilator of a given subset of a BCK-algebra $𝒜$ . We prove that annihilators of deductive systems of BCK-algebras are again deductive systems and moreover pseudocomplements in the lattice $𝒟 (A)$ of all deductive systems on $𝒜$ . Moreover, relative annihilators of $C \in 𝒟 (A)$ with respect to $B \in 𝒟 (A)$ are introduced and serve as relative pseudocomplements of $C$ w.r.t. $B$ in $𝒟 (A)$ .

On $d^{}$ -subalgebras of $d$ -transitive $d^{}$ -algebras

Young Chan Lee, Hee Sik Kim (1999)

Mathematica Slovaca

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A note on homomorphisms of Hilbert algebras.

Celani, Sergio (2002)

International Journal of Mathematics and Mathematical Sciences

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Displaying similar documents to “Deductive systems of BCK-algebras”

Annihilators in BCK-algebras

On d * -subalgebras of d -transitive d * -algebras

A note on homomorphisms of Hilbert algebras.

On $d^{}$ -subalgebras of $d$ -transitive $d^{}$ -algebras