Results 91 to 100 of about 164,918 (192)

Extensions of BCK-algebras

Cogent Mathematics, 2016
In this paper, we introduce the notion of sBCI/sBCK/eBCI/eBCK-algebras as a generalization of the notion of BCI/BCK-algebras. This structure is studied in detail.
A. Radfar, A. Rezaei, A. Borumand Saeid
openaire   +1 more source

SEMI-PRIME CLOSURE OPERATIONS ON BCK-ALGEBRA

, 2019
In this paper we study the (good) semi-prime closure oper- ations on ideals of a BCK-algebra, lower BCK-semilattice, Noetherian BCK-algebra and meet quotient ideal and then we give several theorems that make different (good) semi-prime closure operations.
Bordbar, Hashem
core  

On BRK-Algebras

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
doaj   +1 more source

Abstract Algebra II

, 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  

Relationship between ideals of BCI-algebras and order ideals of its adjoint semigroup

International Journal of Mathematics and Mathematical Sciences, 2001
We consider the relationship between ideals of a BCI-algebra and order ideals of its adjoint semigroup. We show that (1) if I is an ideal, then I=M−1(M(I)), (2) M(M−1(J)) is the order ideal generated by J∩R(X), (3) if X is a BCK-algebra, then J=M(M−1(J))
Michiro Kondo
doaj   +1 more source

Intuitionistic Fuzzy Dot BCK/BCI - Algebras

, 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   +1 more source

Semi-homomorfisma Bck-aljabar [PDF]

, 2010
A BCK-algebra is one of the algebraic structure generated over an abelian group. So that, some concepts in group also can be found this structure, for instance, if at a group we have a homomorphism, then at the BCK-algebras we also have a homomorphism ...
suryoto, S. (suryoto), A, D. P. (Deffyana)   +1 more
core  

Quotient hyper pseudo BCK-algebras

, 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

New types of bipolar fuzzy ideals of BCK-algebras

International Journal of Analysis and Applications, 2020
The notions of bipolar fuzzy closed, bipolar fuzzy positive implicative, bipolar fuzzy implicative ideals of BCK-algebras are introduced, and related properties are investigated.
G. Muhiuddin, D. Al-Kadi, A. Mahboob, K.P. Shum   +3 more
doaj  

Linear Algebra and Smarandache Linear Algebra [PDF]

, 2003
The present book, on Smarandache linear algebra, not only studies the Smarandache analogues of linear algebra and its applications, it also aims to bridge the need for new research topics pertaining to linear algebra, purely in the algebraic sense.
Vasantha, Kandasamy
core   +1 more source