Results 21 to 30 of about 202 (72)
Cubic Intuitionistic Structures Applied to Ideals of BCI-Algebras
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, the notion of closed cubic intuitionistic ideals, cubic intuitionistic p-ideals and cubic intuitionistic a-ideals in BCI-algebras are introduced, and several related properties are investigated.
Senapati Tapan +3 more
doaj +1 more source
Molecules and linearly ordered ideals of MV-algebras [PDF]
, 1997 We show that an ideal $I$ of an $MV$-algebra $A$ is linearly ordered if and only if every non-zero element of $I$ is a molecule. The set of molecules of $A$ is contained in $\operatorname{Inf}(A)\cup B_2(A)$ where $B_2(A)$ is the set of all elements $x ...
Hoo, C. S.
core +2 more sources
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
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
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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
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
, 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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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
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