Results 21 to 30 of about 216 (83)
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
MBJ-neutrosophic ideals of BCK/BCI-algebras
Open Mathematics, 2019 The notion of MBJ-neutrosophic ideal is introduced, and its properties are investigated. Conditions for an MBJ-neutrosophic set to be an MBJ-neutrosophic ideal are provided.
Jun Young Bae, Roh Eun Hwan
doaj +1 more source
The Reticulation of a Universal Algebra [PDF]
, 2017 The reticulation of an algebra $A$ is a bounded distributive lattice ${\cal L}(A)$ whose prime spectrum of filters or ideals is homeomorphic to the prime spectrum of congruences of $A$, endowed with the Stone topologies.
Georgescu, George, Mureşan, Claudia
core +2 more sources
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
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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
Soft Set Theory Applied to Hoops
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 In this paper, we introduced the concept of a soft hoop and we investigated some of their properties. Then, we established different types of intersections and unions of the family of soft hoops.
Borzooei R. A. +4 more
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, 2023 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.
Zelent, Denis
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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
Fuzzy structures of PI(≪,⫅,⫅)BCK‐ideals in hyper BCK‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 9, Page 549-556, 2003., 2003 The fuzzification of PI(≪,⫅,⫅)BCK‐ideals is considered. Using the notion of α‐cut, characterization of fuzzy PI(≪, ⫅, ⫅) BCK‐ideals is given. Conditions for a fuzzy set to be a fuzzy PI(≪, ⫅, ⫅) BCK‐ideal are provided.
Young Bae Jun, Wook Hwan Shim
wiley +1 more source
Discussiones Mathematicae - General Algebra and Applications, 2017 In this paper, the notion of a QI-algebra is introduced which is a generalization of a BI-algebra and there are studied its properties. We considered ideals, congruence kernels in a QI-algebra and characterized congruence kernels whenever a QI-algebra is
Bandaru Ravi Kumar
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