Results 71 to 80 of about 226 (154)
BIPOLAR (T,S)-FUZZY MEDIAL IDEAL OF BCI-ALGEBAS
Journal of New Theory, 2015 In this paper, the concept bipolar (T,S)- fuzzy medial-ideals are introduced and several properties are investigated .Also, the relations between bipolar (T,S)- fuzzy medial-ideals and bipolar (T,S)- fuzzy BCIideals are given .The image and the pre-image
Samy Mohammed Mostafa +3 more
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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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Proyecciones (Antofagasta), 2018 In (2] the notion of nil radical in BCI-algebras was introduced and various properties are developed in [3]. Further, several results on nil ideals were obtained in [4] and [5]. The aim of this paper is to study and investigate some properties of k*- radicals in BCI-algebras. The notion of k*- semiprime ideal is introduced.
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Retracted: More General Form of Interval‐Valued Fuzzy Ideals of BCK/BCI‐Algebras
Security and Communication Networks, Volume 2024, Issue 1, 2024.
Security and Communication Networks
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International Journal of Mathematics and Mathematical Sciences, 2012 The notion of BRK-algebra is introduced which is a generalization of BCK/BCI/BCH/Q/QS/BM-algebras. The concepts of 𝐺-part, 𝑝-radical, medial of a BRK-algebra are introduced and studied their properties.
Ravi Kumar Bandaru
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Exploring the Structural Aspects of Interval-Valued Intuitionistic Neutrosophic Fuzzy Ẑ-Subalgebra [PDF]
Neutrosophic Sets and SystemsThe article develops an updated methodology of interval-valued intuitionistic neutrosophic sets (IVINS) based on Ẑ-algebra theoretical structures.
K. P. Shanmugapriya +5 more
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Deductive systems of pseudo-M algebras
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2022 The class of pseudo-M algebras contains pseudo-BCK, pseudo-BCI, pseudo-BCH, pseudo-BE, pseudo-CI algebras and many other algebras of logic. In this paper, the notion of deductive system in a pseudo-M algebra is introduced and its elementary properties ...
Andrzej Walendziak
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IRREDUCIBLE IDEALS IN BCI-ALGEBRAS
Demonstratio Mathematica, 2004 A proper ideal \(P\) of a BCI-algebra \(X\) is called irreducible if for any ideals \(A\) and \(B\) of \(X\), \(A\cap B=P\) implies \(A=P\) or \(B=P\). An irreducible ideal \(P\) containing an ideal \(A\) is {minimal for} \(A\) if for any irreducible ideal \(Q\) of \(X\), \(A\subseteq Q\subseteq P\) implies \(P=Q.\) Properties of such ideals are ...
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Demonstratio Mathematica, 1988 A BCI-algebra \((G,\cdot,O)\) is called group-like iff for every \(a,b\in G\) the equation \(ax=b\) has a unique solution \(x\in G\). We prove that a BCI- algebra is group-like iff it is a quasigroup. The class of all BCI- quasigroups forms a variety which is equationally definable by \((xy)z=(xz)y\) and \(y(xy)=y\). This variety and the variety of all
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Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica, 2015 The notion of normal pseudo-BCI-algebras is studied and some characterizations of it are given. Extensions of pseudo-BCI-algebras are also considered.
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