Results 31 to 40 of about 216 (83)

T‐fuzzy multiply positive implicative BCC‐ideals of BCC‐algebras

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 42, Page 2653-2665, 2003., 2003
The concept of fuzzy multiply positive BCC‐ideals of BCC‐algebras is introduced, and then some related results are obtained. Moreover, we introduce the concept of T‐fuzzy multiply positive implicative BCC‐ideals of BCC‐algebras and investigate T‐product of T‐fuzzy multiply positive implicative BCC‐ideals of BCC‐algebras, examining its properties. Using
Jianming Zhan, Zhisong Tan
wiley   +1 more source

An Injective Pseudo-BCI Algebra is Trivial

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2019
Injective pseudo-BCI algebras are studied. There is shown that the only injective pseudo-BCI algebra is the trivial one.
Dymek Grzegorz
doaj   +1 more source

On branchwise implicative BCI‐algebras

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 7, Page 417-425, 2002., 2002
We introduce a new class of BCI‐algebras, namely the class of branchwise implicative BCI‐algebras. This class contains the class of implicative BCK‐algebras, the class of weakly implicative BCI‐algebras (Chaudhry, 1990), and the class of medial BCI‐algebras.
Muhammad Anwar Chaudhry
wiley   +1 more source

State maps on semihoops

open access: yesOpen Mathematics, 2018
In this paper, we introduce the notion of state maps from a semihoop H1 to another semihoop H2, which is a generalization of internal states (or state operators) on a semihoop H.
Fu Yu Long, Xin Xiao Long, Wang Jun Tao
doaj   +1 more source

On BCL-Algebra [PDF]

open access: yes, 2013
It has been found that the BCL-algebra is more extensive class than BCK/BCI/BCH algebra. In this paper we study some properties of BCL-algebra of type (2,0) We also find deformation of such algebra and illustrate the connection between divisible ...
Al-Kadi, Deena Sobhi   +1 more
core   +1 more source

Fuzzy filters in BCI‐algebras

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 1, Page 47-54, 2002., 2002
We introduce the notion of fuzzy filters and weak filters in BCI‐algebras and discuss their properties. Then we establish some relations among filters, fuzzy filters, and weak filters in BCI‐algebras.
C. Lele, C. Wu, T. Mamadou
wiley   +1 more source

Solid weak BCC-algebras

open access: yes, 2012
We characterize weak BCC-algebras in which the identity $(xy)z=(xz)y$ is satisfied only in the case when elements $x,y$ belong to the same ...
Bunder W. M.   +23 more
core   +1 more source

Doubt fuzzy BCI‐algebras

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 1, Page 49-56, 2002., 2002
The aim of this note is to introduce the notion of doubt fuzzy p‐ideals in BCI‐algebras and to study their properties. We also solve the problem of classifying doubt fuzzy p‐ideals and study fuzzy relations on BCI‐algebras.
Zhan Jianming, Tan Zhisong
wiley   +1 more source

Fuzzy implicative hyper BCK‐ideals of hyper BCK‐algebras

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 2, Page 63-70, 2002., 2002
We consider the fuzzification of the notion of implicative hyper BCK‐ideals, and then investigate several properties. Using the concept of level subsets, we give a characterization of a fuzzy implicative hyper BCK‐ideal. We state a relation between a fuzzy hyper BCK‐ideal and a fuzzy implicative hyper BCK‐ideal.
Young Bae Jun, Wook Hwan Shim
wiley   +1 more source

BCI/BCK- quantum algebra [PDF]

open access: yes, 2021
The paper contains an investigation of the notion of BCI-algebras and BCK-algebras. The concept of quantale was created in 1984 to develop a framework for non-commutative spaces and quantum mechanics with a view toward non-commutative logic ...
Tabuni, Muna
core   +1 more source

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