Results 11 to 20 of about 296 (173)
Neutrosophic Quadruple BCK/BCI-Algebras [PDF]
Axioms, 2018 The notion of a neutrosophic quadruple BCK/BCI-number is considered, and a neutrosophic quadruple BCK/BCI-algebra, which consists of neutrosophic quadruple BCK/BCI-numbers, is constructed. Several properties are investigated, and a (positive implicative)
Young Bae Jun +2 more
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On t-Derivations of BCI-Algebras [PDF]
Abstract and Applied Analysis, 2012 We introduce the notion of t-derivation of a BCI-algebra and investigate related properties. Moreover, we study t-derivations in a p-semisimple BCI-algebra and establish some results on t-derivations in a p-semisimple BCI-algebra.
G. Muhiuddin, Abdullah M. Al-roqi
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An Injective Pseudo-BCI Algebra is Trivial
Discussiones Mathematicae - General Algebra and Applications, 2019 Injective pseudo-BCI algebras are studied. There is shown that the only injective pseudo-BCI algebra is the trivial one.
Dymek Grzegorz
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On f-derivations of BCI-algebras [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 The notion of left-right (resp., right-left) f-derivation of a BCI-algebra is introduced, and some related properties are investigated. Using the idea of regular f-derivation, we give characterizations of a p-semisimple BCI-algerba.
Jianming Zhan, Yong Lin Liu
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Interior BCK/BCI-Algebras [PDF]
International Journal of Computational Intelligence Systems, 2021 The notions of interior BCK/BCI-algebras, positive implicative interior BCK-algebras, (weak) interior ideals, positive implicative interior ideals, a positive implicative weak interior ideal of type 1, type 2, and type 3 are introduced, and related ...
Sun Shin Ahn +2 more
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International Journal of Mathematics and Mathematical Sciences, 2012 We associate a graph to any subset Y of a BCI-algebra X and denote it by G(Y). Then we find the set of all connected components of G(X) and verify the relation between X and G(X), when X is commutative BCI-algebra or G(X) is complete graph or n-star ...
Omid Zahiri, Rajab Ali Borzooei
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Graphs Based on BCK/BCI-Algebras [PDF]
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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GENERALIZED DERIVATIONS OF BCI-ALGEBRAS
Honam Mathematical Journal, 2009 The notion of generalized derivations of a BCI-algebra is introduced, and some related properties are investigated. Also, the concept of a torsion free BCI-algebra is introduced and some properties are discussed.
Young-Bae Jun
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Computers and Mathematics With Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Young Bae Jun
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P-CLOSURE IN PSEUDO BCI-ALGEBRAS [PDF]
Journal of Algebraic Systems, 2020 In this paper, for any non-empty subset C of a pseudo BCI-algebra X, the concept of p-closure of C, denoted by C(pc), is introduced and some related properties are investigated.
H. Harizavi
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