Results 81 to 90 of about 164,919 (198)

Graphs Based on BCK/BCI-Algebras

International Journal of Mathematics and Mathematical Sciences, 2011
The associated graphs of BCK/BCI-algebras will be studied. To do so, the notions of (l-prime) quasi-ideals and zero divisors are first introduced and related properties are investigated. The concept of associative graph of a BCK/BCI-algebra is introduced,
Young Bae Jun, Kyoung Ja Lee
doaj   +1 more source

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

PC-lattices: A Class of Bounded BCK-algebras [PDF]

, 2018
In this paper, we define the notion of PC-lattice, as a generalization of finite positive implicative BCK-algebras with condition (S) and bounded commutative BCK-algebras.
Borzooei, Rajab Ali, Moradian, R., Radfar, Atefe, Shoar, Sadegh Khosravi   +3 more
core   +1 more source

NEUTROSOPHIC N-IDEALS ON SHEFFER STROKE BCK-ALGEBRAS [PDF]

, 2023
In this study, a neutrosophic N-subalgebra and neutrosophic N-ideal of a Sheffer stroke BCK-algebras are defined. It is shown that the level-set of a neutrosophic N-subalgebra (ideal) of a Sheffer stroke BCK-algebra is a subalgebra (ideal) of this ...
Oner, Tahsin, Katican, Tugce, Rezaei, Akbar   +2 more
core  

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

A Class of BCK-Algebras [PDF]

, 2011
In this manuscript, we introduce a BCK-algebra, and show that this BCK-algebra is commutative, with the relative cancellation property, lower semi lattice and also it's with condition (S) but it's not positive implicative in some cases. Also we
Leila N Ranjbar, Zahra M Samaei, Ali N Mohammad, Azadani   +3 more
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 BCK-algebras [PDF]

, 1979
본 논문에서는 K. Iyoshi Ise´ke가 소개한 BCK-algebra라고 불리우는 대수의 새로운 구조에 관하여 연구하였다. 이 논문에서는 다음과 같은 사실을 밝혔다. [1] 집합 A가 bounded implicative BCK-algebra X의 공집합이 아닌 부분집합일 때 다음 조건 (1)과 (2)는 동치이다. (1) A는 ideal이고, (2) i) x＜＝y, y∈A이면 x∈A이고, ii) x, y∈A이면 x∨y∈A이다.
윤혜선
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