Results 81 to 90 of about 164,918 (192)

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
wiley   +1 more source

The prime spectrum of a BCI-algebra [PDF]

Journal of Mahani Mathematical Research
The 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
doaj   +1 more source

Selected Properties of Some Generalizations of BCK Algebras

Discussiones Mathematicae - General Algebra and Applications, 2020
The notion of a RM algebra, introduced recently, is a generalization of many other algebras of logic. The class of RM algebras contains (weak-)BCC algebras, BCH algebras, BCI algebras, BCK algebras and many others. A RM algebra is an algebra A = (A; →, 1)
Dymek Grzegorz
doaj   +1 more source

Graphsof BCI/BCK -algebras

TURKISH JOURNAL OF MATHEMATICS, 2018
Summary: The aim of this paper is to study special graphs of BCI/BCK-algebras. In this paper, we introduce one kind of graph of BCI-algebras based on branches of \(X\) and two kinds of graphs of BCK-algebras based on ideal \(I\). Then we study some of the essential properties of graph theory on the basis of those structures. In particular, we study the
openaire   +2 more sources

Category of hyper BCK-algebras

Scientiae Mathematicae Japonicae, 2006
Summary: We first define the category of hyper BCK-algebras. After that we show that the category of hyper BCK-algebras is connected, factorisable and has equalizers, coequalizers, products, coproducts, intersection and kernel. As a consequence this category is complete and cocomplete and hence has pullbacks and pushouts.
HARIZAVI, H., MACDONALD, J., BORZOOEI, R. A.   +2 more
openaire   +2 more sources

(A) study on BCK-ALGEBRA

, 1978
現代數學은 아무 속성도 갖고 있지 않는 어떤 대상들의 집합에다 公理에 의하여 속성을 부여하는 公理論的 方法에 의하여 재편성되고 있다. 따라서 數學的 體系가 지니고 있는 다양하고도 複雜한 여러가지 數學的 性質을 몇개의 공리로 집약하는 과정에서, 우리는 必然的으로 그 체계의 본질을 보다 깊이 把握할 수 있게되며, 이 수학적 체계의 構造가 明白히 들어나게 된다. 結局 現代數學은 個個의 수학적 체계의 구조들 사이의 상호관련성을 연구한 시기라 볼 수 있다.
金孝淑.
core  

On the BCK-algebra

, 1978
In this paper, we will study a new class of algebra called a BCK-algebra which was introduced by K. Iyoshi Iseki. We will begin with definitions of this algebra which satisfies the following conditions : Let X be an abstract set with two binary ...
심홍임
core  

IDEAL, IDEAL VARLET DAN IDEAL ADDITIF PADA ALJABAR-BCK [PDF]

, 2001
BCK-algebra is abstract algebra ( X,*,0 ) that X be monempty set, binary operation * and constant elemen o. Class ofBCK-algebra are positive-implikative BCK-algebra and BCK-algebra with condition (S) In BCK-algebra it know to Ideal and Additive IdeaL ...
SUCI WULANDARI, 089611505
core  

On derivations of pseudo L-algebras [PDF]

Journal of Mahani Mathematical Research
In this article, the focus is on the study of derivations on two types of algebraic structures: pseudo L-algebras and pseudo CKL-algebras. For pseudo L-algebras, the notions of left and right derivations are introduced.
Yu Qian Guo, Xiao Long Xin
doaj   +1 more source

Closed Ideal with Respect a Binary Operation * On BCK-Algebra

, 2017
In this paper, we define a new ideal of BCK-algebra, we call it a closed ideal with respect a binary operation ∗, and denoted by (∗ -closed ideal). We stated and proved some properties on closed ideal and give some examples on it. Indexing Terms/Keywords:
Naser, Rusul Hassan, Wahab, Azal Taha Abdul, Ali, Zahraa M.   +2 more
core