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On BCI-Algebras

open access: yesOn BCI-Algebras
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A problem on BCI-Algebras

open access: yesA problem on BCI-Algebras
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Soft BCK/BCI-algebras

open access: yesComputers and Mathematics With Applications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Young Bae Jun
exaly   +3 more sources
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ON PROJECTIVE BCI-ALGEBRAS

Communications of the Korean Mathematical Society, 2003
Summary: We obtain \(Hom(P, _- )\) is an exact functor if \(P\) is a \(p\)-projective \(BCI\)-algebra.
Ahn, Sun Shin, Bang, Keumseong
openaire   +2 more sources

Periodic BCI-algebras and Subgroups of Adjoint Monoids of BCI-algebras

Semigroup Forum, 1998
Let \((X,\cdot,0)\) be a BCI-algebra. The set \(M(X)\) of all finite compositions of right shifts \(\rho_{a}(x)=xa\) is a commutative monoid with the unit \(\rho_{0}\). It is proved that there is a bijection from p-semisimple closed ideals of a BCI-algebra \(X\) to subgroups of \(M(X)\).
Huang, Wenping, Sun, Dajun
openaire   +1 more source

On derivations of BCI-algebras

Information Sciences, 2004
The authors study BCI-algebras. The main contribution in this paper is the introduction of the notion of a derivation for BCI-algebras, which is defined in a way similar to the notion in ring theory. This is done by using the cap-operation and the BCI-product. Also, many properties related to the derivations are developed.
Jun, Young Bae, Xin, Xiao Long
exaly   +3 more sources

UNIFORM STRUCTURES IN BCI-ALGEBRAS

Communications of the Korean Mathematical Society, 2002
Summary: We discuss the uniformity in \(BCI\)-algebras using Zhang's congruence relation.
Yoon, Dall Sun, Kim, Hee Sik
openaire   +2 more sources

On topological BCI-algebras

Information Sciences, 1999
Topological BCI-algebras are characterized in terms of neighborhoods. It is proved that a topological BCI-algebra is Hausdorff iff \(\{0\}\) is closed. A filter base generating a BCI-topology is described.
Jun, Young Bae   +2 more
exaly   +2 more sources

Bivariate BCI Algebras

International Journal of Mathematical Sciences and Optimization: Theory and Applications
 In this paper, the concept of bivariate BCI algebras is introduced. Properties of ρ- variate, λ variate and bivariate BCI algebras are investigated.
Ilojide, E., George, O. O.
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