Results 11 to 20 of about 296 (172)
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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Journal of the Chungcheng 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
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Engel BCI-algebras: an application of left and right commutators [PDF]
Mathematica Bohemica, 2021 We introduce Engel elements in a BCI-algebra by using left and right normed commutators, and some properties of these elements are studied. The notion of $n$-Engel BCI-algebra as a natural generalization of commutative BCI-algebras is introduced, and we ...
Ardavan Najafi, Arsham Borumand Saeid
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A Novel Approach to the Algebraic Structure of Neutrosophic SuperHyper Algebra [PDF]
Neutrosophic Sets and Systems, 2023 Hyperalgebras and BCI algebras extend classical algebraic structures, and these specific structures offer tools and frameworks for studying various operations and logic in algebra.
S. Santhakumar +2 more
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m-Polar Fuzzy B-ideal of B-algebra
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2023 B-algebra is an algebraic structure related to BCI/BCK-algebra. Many researchers have studied fuzzy B-ideal on B-algebra, m-polar fuzzy set on BCI-algebra and B-algebra, m-polar fuzzy subalgebra on BCI-algebra and B-algebra, m-polar fuzzy ideal on BCI ...
Dian Kartika Amandani +2 more
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On the Isotopy of some Varieties of Fenyves Quasi Neutrosophic Triplet Loop (Fenyves BCI-algebras) [PDF]
Neutrosophic Sets and Systems, 2020 Neutrosophy theory has found application in health sciences in recent years. There is the need to develop neutrosophic algebraic systems which are good and appropriate for studying and understanding the effects of diseases and their possible treatments.
Temitope Gbolahan Jaiyéolá +3 more
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Generalization of Fuzzy Soft BCK/BCI-Algebras
Journal of Mathematics, 2021 In this paper, the notions of ∈,∈∨q-fuzzy soft BCK/BCI-algebras and ∈,∈∨q-fuzzy soft sub-BCK/BCI-algebras are introduced, and related properties are investigated.
N. Alam +5 more
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Neutrosophic Regular Filters and Fuzzy Regular Filters in Pseudo-BCI Algebras [PDF]
Neutrosophic Sets and Systems, 2017 Neutrosophic set is a new mathematical tool for handling problems involving imprecise, indeterminacy and inconsistent data. Pseudo-BCI algebra is a kind of non-classical logic algebra in close connection with various non-commutative fuzzy logics ...
Xiaohong Zhang +2 more
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Quadratic BH-algebras and Quadratic TM-algebras
Tikrit Journal of Pure Science, 2023 In this paper we present the notion of “quadratic” BH-algebra and TM-algebra, and show that every quadratic BH-algebra and TM-algebra has a product of the form , where ; if is a field with and BCI-algebra.
Shawn Adnan Bajalan +2 more
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Further results on (∈, ∈)-neutrosophic subalgebras and ideals in BCK/BCI-algebras [PDF]
Neutrosophic Sets and Systems, 2018 Characterizations of an (∈, ∈)-neutrosophic ideal are considered. Any ideal in a BCK/BCI-algebra will be realized as level neutrosophic ideals of some (∈, ∈)-neutrosophic ideal.
G. Muhiuddin +3 more
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