Results 71 to 80 of about 269 (166)
Graphs Based on BCK/BCI-Algebras
International Journal of Mathematics and Mathematical Sciences, 2011 The associated graphs of BCK/BCI-algebras will be studied. To do so, the notions of (l-prime) quasi-ideals and zero divisors are first introduced and related properties are investigated. The concept of associative graph of a BCK/BCI-algebra is introduced,
Young Bae Jun, Kyoung Ja Lee
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A representation of bounded commutative BCK-algebras
International Journal of Mathematics and Mathematical Sciences, 1996 In this note, we prove a representation theorem for bounded commutative BCK-algebras.
H. A. S. Abujabal +2 more
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Pseudo-Valuations on UP-Algebras
Universal Journal of Mathematics and Applications, 2019 Looking at pseudo-valuations on some classes of abstract algebras, such as BCK, BCI, BCC and KU, in this article we introduce the concept of pseudo-valuations on UP-algebras and analyze the relationship of these mappings with UP-substructures.
Daniel A. Romano
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COMMUTATIVE BCK-ALGEBRAS WITH PRODUCT
Demonstratio Mathematica, 2000 The author defines a product operation on every commutative BCK-algebra with the relative cancellation property. This product is distributive with respect to the partial operation + derived from the usual BCK operation. He shows that his product BCK algebras are categorically equivalent to a certain class of lattice-ordered rings.
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Factor congruences in BCK-algebras
Soft Computing, 2008 In the paper under review, the authors present a general characterization of factor congruences in BCK-algebras, and use this description to determine whether a free algebra for a quasi-variety of BCK-algebras can be decomposed directly or not. In case it is decomposable, the authors determine its factors.
Abad, Manuel +1 more
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TURKISH JOURNAL OF MATHEMATICS, 2018 Summary: The aim of this paper is to study special graphs of BCI/BCK-algebras. In this paper, we introduce one kind of graph of BCI-algebras based on branches of \(X\) and two kinds of graphs of BCK-algebras based on ideal \(I\). Then we study some of the essential properties of graph theory on the basis of those structures. In particular, we study the
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States and Measures on Hyper BCK-Algebras
Journal of Applied Mathematics, 2014 We define the notions of Bosbach states and inf-Bosbach states on a bounded hyper BCK-algebra (H,∘,0,e) and derive some basic properties of them. We construct a quotient hyper BCK-algebra via a regular congruence relation.
Xiao-Long Xin, Pu Wang
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Bipolar Fuzzy Sheffer Stroke in BCK-Algebras
AxiomsIn this study, we examine bipolar fuzzy SBCK-subalgebras and their corresponding level sets of bipolar fuzzy sets in the setting of Sheffer stroke BCK-algebras.
Tahsin Oner +3 more
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Category of hyper BCK-algebras
Scientiae Mathematicae Japonicae, 2006 Summary: We first define the category of hyper BCK-algebras. After that we show that the category of hyper BCK-algebras is connected, factorisable and has equalizers, coequalizers, products, coproducts, intersection and kernel. As a consequence this category is complete and cocomplete and hence has pullbacks and pushouts.
HARIZAVI, H. +2 more
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Sheffer Stroke BCK-Algebras via Linear Diophantine Fuzzy Structures
AxiomsThis study investigates linear Diophantine fuzzy structures within the framework of Sheffer stroke BCK-algebras (SBCK-algebras). We introduce and characterize linear Diophantine fuzzy SBCK-subalgebras and linear Diophantine fuzzy SBCK-ideals ...
Amal S. Alali +4 more
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