Results 11 to 20 of about 64 (64)

On BI-Algebras

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this paper, we introduce a new algebra, called a BI-algebra, which is a generalization of a (dual) implication algebra and we discuss the basic properties of BI-algebras, and investigate ideals and congruence relations.
Saeid Arsham Borumand   +2 more
doaj   +1 more source

Maximal Bp -Subalgebras of B-Algebras

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2020
We provide some properties of maximal Bp-subalgebras of B-algebras. In particular, we show that for each prime p, a finite B-algebra has a maximal Bp-subalgebra.
Bantug Jenette, Endam Joemar
doaj   +1 more source

Cubic Intuitionistic Structures Applied to Ideals of BCI-Algebras

open access: yesAnalele 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

Radical approach in BCH‐algebras

open access: yesInternational 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

MBJ-neutrosophic ideals of BCK/BCI-algebras

open access: yesOpen 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

Fuzzy multiply positive implicative hyper BCK‐ideals of hyper BCK‐algebras

open access: yesInternational 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

On  , qk  -intuitionistic (fuzzy ideals, fuzzy soft ideals) of subtraction algebras [PDF]

open access: yesSongklanakarin 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

open access: yesAnalele 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
doaj   +1 more source

On the class of QS‐algebras

open access: yesInternational 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

open access: yesInternational 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

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