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On BCI-AlgebrasSome of the next articles are maybe not open access.
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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
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Summary: We obtain \(Hom(P, _- )\) is an exact functor if \(P\) is a \(p\)-projective \(BCI\)-algebra.
Ahn, Sun Shin, Bang, Keumseong
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Periodic BCI-algebras and Subgroups of Adjoint Monoids of BCI-algebras
Semigroup Forum, 1998Let \((X,\cdot,0)\) 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
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On derivations of BCI-algebras
Information Sciences, 2004The 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
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UNIFORM STRUCTURES IN BCI-ALGEBRAS
Communications of the Korean Mathematical Society, 2002Summary: We discuss the uniformity in \(BCI\)-algebras using Zhang's congruence relation.
Yoon, Dall Sun, Kim, Hee Sik
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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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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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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
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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
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International Journal of Theoretical Physics, 2013
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International Journal of Mathematical Education in Science and Technology, 1990
In this paper we describe the notion of the centre of a BCI‐algebra and show that it is a p‐semisimple subalgebra. Various properties of BCI‐ideals have been studied, and necessary and sufficient conditions for certain ideals to be closed have been investigated.
Shaban Ali Bhatti +1 more
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In this paper we describe the notion of the centre of a BCI‐algebra and show that it is a p‐semisimple subalgebra. Various properties of BCI‐ideals have been studied, and necessary and sufficient conditions for certain ideals to be closed have been investigated.
Shaban Ali Bhatti +1 more
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