Results 11 to 20 of about 72 (69)
Radical approach in BCH‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 70, Page 3885-3888, 2004., 2004 We define the notion of radical in BCH‐algebra and investigate the structure of [X; k], a viewpoint of radical in BCH‐algebras.
Eun Hwan Roh
wiley +1 more source
Fuzzy multiply positive implicative hyper BCK‐ideals of hyper BCK‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 24, Page 1239-1253, 2004., 2004 We consider the fuzzification of the notion of fuzzy multiply positive implicative hyper BCK‐ideals of BCK‐algebras and then some related results are obtained. Using the concept of level subsets, we give a characterization of a fuzzy multiply positive implicative hyper BCK‐ideal.
Jianming Zhan, Dajing Xiang, Zhisong Tan
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 49, Page 2629-2639, 2004., 2004 We consider some fundamental properties of QS‐algebras and show that (1) the theory of QS‐algebras is logically equivalent to the theory of Abelian groups, that is, each theorem of QS‐algebras is provable in the theory of Abelian groups, and conversely, each theorem of Abelian groups is provable in the theory of QS‐algebras; and (2) a G‐part G(X) of a ...
Michiro Kondo
wiley +1 more source
Some categorical aspects of BCH‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 27, Page 1739-1750, 2003., 2003 We show that the category BCH of BCH‐algebras and BCH‐homomorphisms is complete. We also show that it has coequalizers, kernel pairs, and an image factorization system. It is also proved that onto homomorphisms and coequalizers, and monomorphisms and one‐to‐one homomorphisms coincide, respectively, in BCH.
Muhammad Anwar Chaudhry +1 more
wiley +1 more source
On , qk -intuitionistic (fuzzy ideals, fuzzy soft ideals) of subtraction algebras [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2015 The intent of this article is to study the concept of an , k q -intuitionistic fuzzy ideal and , qk -intuitionistic fuzzy soft ideal of subtraction algebras and to introduce some related properties.
Madad Khan +4 more
doaj
T‐fuzzy multiply positive implicative BCC‐ideals of BCC‐algebras
International 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
Left Zeroid and Right Zeroid Elements of Γ-Semirings
Discussiones Mathematicae - General Algebra and Applications, 2017 In this paper we introduce the notion of a left zeroid and a right zeroid of Γ -semirings. We prove that, a left zeroid of a simple Γ-semiring M is regular if and only if M is a regular Γ -semiring.
Rao M. Murali Krishna, Kumar K.R.
doaj +1 more source
Spectra and reticulation of semihoops
Open Mathematics, 2022 In this article, we further study the filter theory of semihoops. Moreover, we use the prime (maximal) filters to construct the prime (maximal) spectrum on semihoops, and prove that the prime spectrum is a compact T0{T}_{0} topological space and that the
Tang Yu Jie, Xin Xiao Long, Zhou Xin
doaj +1 more source
On branchwise implicative BCI‐algebras
International 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
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