Results 91 to 100 of about 164,919 (198)

HEREDITARY SUBALGEBRAS OF BCK-ALGEBRAS

Demonstratio Mathematica, 1996
The leading motivation for BCK-algebras comes from algebraic logic: a BCK-algebra \({\mathbf A}= \langle A; \cdot, 0\rangle\) is the algebraic counterpart of a purely implicational calculus in which \(0\) corresponds to truth, \(x\cdot y\) is interpreted as \(y\to x\) and \(x\cdot y= 0\) as \(\lvdash y\to x\).
Raftery, J. G., Sturm, T.
openaire   +2 more sources

Commutative extended BCK-algebras [PDF]

, 2011
We introduce an extended cone algebra, which generalises a Bosbach’s cone algebra within the framework of extended BCK-algebras and show that every such an algebra is a direct product of an ℓ-group and a cone algebra of Bosbach.
N. Subrahmanyam
core   +1 more source

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

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

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
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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  

COMMUTATIVE BCK-ALGEBRAS WITH PRODUCT

Demonstratio Mathematica, 2000
The author defines a product operation on every commutative BCK-algebra with the relative cancellation property. This product is distributive with respect to the partial operation + derived from the usual BCK operation. He shows that his product BCK algebras are categorically equivalent to a certain class of lattice-ordered rings.
openaire   +2 more sources

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
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Annihilators in BCK-algebras(II) [PDF]

, 1998
In this paper we show that for every BCI-algebra X, (1) the family CI(X) of all closed ideal in X forms a pseudo-complemented distributive lattice if and only if X is the BCK-algebra; (2) ∀A ∈ CI(X)A ⊆ A^⇔ X is the BCK-algebra
Kondo, Michiro
core  

Triangular norm-based intuitionistic fuzzy BE-algebras and filters [PDF]

Notes on IFS
In this paper, intuitionistic fuzzy BE-algebra that a generalization of the BCK-algebra is introduced with respect to t-norms and t-conorms. The various algebraic properties of triangular norm-based intuitionistic fuzzy BE-algebras are studied in detail,
Sinem Tarsuslu (Yılmaz)
doaj   +1 more source