Results 71 to 80 of about 661 (206)
Journal of the Chungcheong Mathematical Society, 2013 Abstract. In this note, we show that every linear BCI -algebra( X ; ⁄;e ), e 2 X , has of the form x ⁄ y = x i y + e where x;y 2 X ,where X is a fleld with jX j ‚ 3. 1. IntroductionY. Imai and K. Is¶eki introduced two classes of abstract algebras: BCK -algebras and BCI -algebras ([3, 4]).
Young Hee Kim, Keum Sook So
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The prime spectrum of a BCI-algebra [PDF]
Journal of Mahani Mathematical ResearchThe aim of the present paper is to define the prime spectrum of a BCI-algebra as a generalization of prime spectrum BCK-algebras with respect to prime ideals.
Ardavan Najafi, Arsham Borumand Saeid
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New generalizations of BCI, BCK and Hilbert algebras [PDF]
, 2013 We introduce more generalizations of BCI, BCK and of Hilbert algebras, with proper examples, and show the hierarchies existing between all these algebras, old and new ones.
Iorgulescu, Afrodita
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BCI/BCK- quantum algebra [PDF]
, 2021 The paper contains an investigation of the notion of BCI-algebras and BCK-algebras. The concept of quantale was created in 1984 to develop a framework for non-commutative spaces and quantum mechanics with a view toward non-commutative logic ...
Tabuni, Muna
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AIChE Journal, Volume 71, Issue 7, July 2025.Abstract Although thermally coupled distillation (TCD) exhibits strong energy efficiency, the possibility of utility cost savings remains debatable. TCD designs that do not consider vapor transport can underestimate costs, making section rearrangement crucial to find more operable configurations.
Anqing Wang +2 more
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Fuzzy BCI-subalgebras with interval-valued membership functions
International Journal of Mathematics and Mathematical Sciences, 2001 The purpose of this paper is to define the notion of an interval-valued fuzzy BCI-subalgebra (briefly, an i-v fuzzy BCI-subalgebra) of a BCI-algebra. Necessary and sufficient conditions for an i-v fuzzy set to be an i-v fuzzy BCI-subalgebra are stated. A
Sung Min Hong +3 more
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Hybrid Structures Applied to Ideals in BCI-Algebras
Journal of Mathematics, 2020 In this paper, the notion of hybrid structure is applied to the ideal theory in BCI-algebras. In fact, we introduce the notions of hybrid p-ideal, hybrid h-ideal, and hybrid a-ideal in BCI-algebras and investigate their related properties.
G. Muhiuddin, D. Al-Kadi, A. Mahboob
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On Intuitionistic Fuzzy Translation and Multiplication of PMS‐Ideals in PMS‐Algebras
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.In this manuscript, we explore the application of intuitionistic fuzzy translations and intuitionistic fuzzy multiplication of intuitionistic fuzzy sets to PMS‐algebras and examine various related properties. We analyze the relationships between an intuitionistic fuzzy PMS‐ideal A of a PMS‐algebra and its corresponding intuitionistic fuzzy ω ...
Beza Lamesgin Derseh, Abdul Rauf Khan
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On branchwise implicative BCI‐algebras
International Journal of Mathematics and Mathematical Sciences, 2002 We introduce a new class of BCI‐algebras, namely the class of branchwise implicative BCI‐algebras. This class contains the class of implicative BCK‐algebras, the class of weakly implicative BCI‐algebras (Chaudhry, 1990), and the class of medial BCI‐algebras.
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On f-derivations of BCI-algebras
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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