Results 91 to 100 of about 847,924 (219)
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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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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Filters in Strong BI-Algebras and Residuated Pseudo-SBI-Algebras
Mathematics, 2020 The concept of basic implication algebra (BI-algebra) has been proposed to describe general non-classical implicative logics (such as associative or non-associative fuzzy logic, commutative or non-commutative fuzzy logic, quantum logic).
Xiaohong Zhang, Xiangyu Ma, Xuejiao Wang
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, 1981 본 연구에서는 수학적 구조 가운데서 대수적 구조의 한 분야인 BCK-대수와 BCI-대수에 대하여 다음 사항들을 알아보았다. (1) BCK-대수를 소개하고 몇 가지 예를 들었다. (2) BCK-대수의 성질 가운데서 ideal, implicative ideal, Kernel에 관한 간단한 성질들을 증명하여 보았다. (3) BCK-대수 사이의 homomorphism을 살피고 이것에서 유도되는 정리들을 증명하여 보았다.
안희진
core
, 2012 This Saylor course is an extension of abstract algebra I and revisits structures like groups, rings and fields as well as mappings like homomorphisms and isomorphisms.
algebra, The Saylor Foundation
core
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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Identities in the Algebra of Partial Maps
, 2005 We consider the identities of a variety of semigroup-related algebras modelling the algebra of partial maps. We show that the identities are intimately related to a weak semigroup deductive system and we show that the equational theory is decidable.
Marcel Jackson +3 more
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Nilpotent subspaces of maximal dimension in semisimple Lie algebras [PDF]
, 2006 We show that a linear subspace of a reductive Lie algebra g that consists of nilpotent elements has dimension at most equal to the number of positive roots, and that any nilpotent subspace attaining this upper bound is equal to the nilradical of a Borel ...
Kuttler, J +8 more
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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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