Results 161 to 170 of about 164,918 (192)

A TOPOLOGY ON A HYPER BCK-ALGEBRA

JP Journal of Algebra, Number Theory and Applications, 2018
Summary: In this paper, by considering the notion of hyper BCK-algebra \((H,\ast,0)\) and for any \(A\subseteq H\), we define \(R_H(A)=\{x\in H:a\ll x,\forall a\in A\}=\{x\in H:0\in a\ast x,\forall a\in A\}\). We show that the family consisting \(\mathcal{B}_R(H)\) of the sets \(R_H(A)\) where \(A\) ranges over all subsets of \(H\), forms a base for ...
Patangan, Rachel M., Canoy, Sergio R. jun.   +1 more
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DEFORMATIONS OF d/BCK-ALGEBRAS

Bulletin of the Korean Mathematical Society, 2011
In this paper, we study the effects of a deformation mapping on the resulting deformation d/BCK-algebra obtained via such a deformation mapping. Besides providing a method of constructing d-algebras from BCK-algebras, it also highlights the special ...
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exaly   +2 more sources

Bounded BCK‐algebras and their generated variety

Mathematical Logic Quarterly, 2007
AbstractIn this paper we prove that the equational class generated by bounded BCK‐algebras is the variety generated by the class of finite simple bounded BCK‐algebras. To obtain these results we prove that every simple algebra in the equational class generated by bounded BCK‐algebras is also a relatively simple bounded BCK‐algebra.
Joan Gispert, Antoni Torrens
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On the structure of pseudo-BCK algebras

J. Multiple Valued Log. Soft Comput., 2017
Summary: In [\textit{I. Chajda} and \textit{J. Kühr}, Miskolc Math. Notes 8, No. 1, 11--21 (2007; Zbl 1135.03349)] to an arbitrary BCK-algebra there was assigned an ordered structure every section of which possesses a certain antitone mapping. In the present paper we generalize this to pseudo-BCK algebras.
Ivan Chajda, Helmut Länger
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On Categorical Equivalences of Commutative BCK-algebras

Studia Logica, 2000
A commutative BCK-algebra with the relative cancellation property is a commutative BCK-algebra \((X;*,0)\) which satisfies the condition: if \(a\leq x\), \(a\leq y\) and \(x*a=y*a\), then \(x=y\). Such BCK-algebras form a variety, and the category of these BCK-algebras is categorically equivalent to the category of Abelian \(l\)-groups whose objects ...
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On ideals in \(BCK\)-algebras

1986
Summary: Various ideals in BCK-algebras are discussed in detail. We introduce the notion of an implicative ideal, which is different from Iséki's one, and the notion of a commutative ideal. Their relationships with other ideals are studied. We also give ideal characterizations of several important classes of BCK-algebras.
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Construction of an HV-K-algebra from a BCK-algebra based on “Ends Lemma”

Journal of Discrete Mathematical Sciences and Cryptography, 2022
Seid Mohammad Anvariyeh
exaly  

On ideals in BCK-algebras

Mathematics Seminar Notes, 1977
Ahsan, J., Thaheem, A. B.
openaire   +2 more sources

BCK-algebras

2000
Anatolij Dvurečenskij, Sylvia Pulmannová   +1 more
openaire   +1 more source

SEMI-PRIME CLOSURE OPERATIONS ON BCK-ALGEBRA

Communications of the Korean Mathematical Society, 2015
Hashem Bordbar, Mohammad Mehdi Zahedi
exaly