Results 71 to 80 of about 164,919 (198)

BMBJ-neutrosophic subalgebra in BCI/BCK-algebras [PDF]

Neutrosophic Sets and Systems, 2019
For the first time Smarandache introduced neutrosophic sets which can be used as a mathematical tool for dealing with indeterminate and inconsistent information.
H. Bordbar, M. Mohseni Takallo, R.A. Borzooei, Young Bae Jun   +3 more
doaj   +1 more source

Abstract Algebra II [PDF]

, 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  

Intuitionistic Fuzzy Dot BCK/BCI - Algebras [PDF]

, 2013
In this paper we apply the concept of intuitionistic fuzzy set to dot BCK-sub algebra. The notion of an intuitionistic fuzzy dot BCK-sub algebra is introduced and some interesting properties are investigated.
Veeramani, Dr.V., Subramani, G.
core   +2 more sources

Quotient hyper pseudo BCK-algebras [PDF]

, 2013
In this paper, we first investigate some properties of the hyper pseudo BCK-algebras. Then we define the concepts of strong and reflexive hyper pseudo BCK-ideals and establish some relationships among them and the other types of hyper pseudo BCK-ideals ...
Koochakpoor, Tayebeh, Boorzoei, Rajab, Harizavi, Habib   +2 more
core   +1 more source

Vague BCK/BCI-algebras [PDF]

Opuscula Mathematica, 2009
In this note, by using the concept of vague sets, the notion of vague \(BCK/BCI\)-algebra is introduced. And the notions of \(\alpha\)-cut and vague-cut are introduced and the relationships between these notions and crisp subalgebras are studied.
Arsham Borumand Saeid
doaj   +1 more source

On Traczyk’s BCK-sequences

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2022
BCK-sequences and n-commutative BCK-algebras were introduced by T. Traczyk, together with two related problems. The first one, whether BCK-sequences are always prolongable.
Denis Zelent
doaj  

FUZZY NEUTROSOPHIC PRIME IDEALS OF BCK-ALGEBRAS [PDF]

Journal of Algebraic Systems
In this research paper, we introduce and analyze the notion of fuzzy neutrosophic prime ideals (FNPIs) in a commutative BCK-algebra $\mathcal{K}$. It represents a further extension of prime ideals in the context of fuzzy neutrosophic sets.
Bavanari Satyanarayana, Shake Baji, Dola Devanandam   +2 more
doaj   +1 more source

Trees as commutative BCK-Algebras [PDF]

Bulletin of the Australian Mathematical Society, 1981
A new method of constructing commutative BCK-algebras is given. It depends upon the notion of a valuation of a lower semilattice in a given commutative BCK-algebra. Any tree vith the descending chain condition has a valuation in the natural numbers, considered as a commutative BCK-algebra; the valuation is the height-function.
openaire   +2 more sources

Local pseudo-BCK algebras with pseudo-product [PDF]

, 2011
Pseudo-BCK algebras were introduced by G. Georgescu and A. Iorgulescu as a generalization of BCK algebras in order to give a corresponding structure to pseudo-MV algebras, since the bounded commutative BCK algebras correspond to MV algebras.
Lavinia Ciungu
core   +1 more source

Intuitionistic fuzzy ideals of BCK-algebras

International Journal of Mathematics and Mathematical Sciences, 2000
We consider the intuitionistic fuzzification of the concept of subalgebras and ideals in BCK-algebras, and investigate some of their properties. We introduce the notion of equivalence relations on the family of all intuitionistic fuzzy ideals of a BCK ...
Young Bae Jun, Kyung Ho Kim
doaj   +1 more source