Results 1 to 10 of about 225 (154)
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Fuzzy H-ideals in BCI-algebras
Fuzzy Sets and Systems, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bashir Ahmad
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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.
Young Bae Jun +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.
Young Bae Jun +2 more
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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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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.
Young Bae Jun, Xiao Long Xin 0001
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Journal of Intelligent & Fuzzy Systems, 2016
In this paper, the notions of commutators and pseudo commutators of elements (subsets) of a BCI-algebra are introduced and some properties are given. The concept of solvable BCI-algebras are also discussed and their properties are investigated. It is proved that the class of solvable BCI-algebras is closed under sub-algebra, cartesian product and ...
Ardavan Najafi +2 more
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In this paper, the notions of commutators and pseudo commutators of elements (subsets) of a BCI-algebra are introduced and some properties are given. The concept of solvable BCI-algebras are also discussed and their properties are investigated. It is proved that the class of solvable BCI-algebras is closed under sub-algebra, cartesian product and ...
Ardavan Najafi +2 more
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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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BCI-Algebras and Related Logics
The Australasian Journal of Logic, 2022Kabzinski in [6] first introduced an extension of BCI-logic that is isomorphic to BCI-algebras. Kashima and Komori in [7] gave a Gentzen-style sequent calculus version of this logic as well as another sequent calculus which they proved to be equivalent. They used the second to prove decidability of the word problem for BCI-algebras.
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International Journal of Theoretical Physics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On derivation of pseudo BCI-algebras
Asian-European Journal of Mathematics, 2019In this paper, we introduce the notion of derivation of pseudo BCI-algebras and investigate some related properties.
Uzay D.S., Firat A.
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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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