Results 71 to 80 of about 182 (116)

On \(d\)-prime hyperideals of hyperrings

Journal of Hyperstructures
Summary: For Krasner hyperrings, we study \(d\)-prime hyperideals where \(d\) is a homo-derivation. Furthermore, we show that every maximal \(d\)-hyperideal and \(d\)-prime hyperideal is a prime hyperideal of a commutative hyperring. Finally, we prove that if \(W\) is a \(d\)-prime hyperideal of a hyperring \(R\) and \(d(q^n)\in W\) for some \(q\in R\),
Akhoundi, Maryam, Omidi, Saber
openaire   +2 more sources

Applications of hesitant fuzzy sets to ternary semigroups. [PDF]

Heliyon, 2020
Yiarayong P.
europepmc   +1 more source

$\delta$-$r$-Hyperideals and $\phi$-$\delta$-$r$-Hyperideals of Commutative Krasner Hyperrings

, 2021
In this paper, our purpose is to define the expansion of $r$-hyperideals and extend this concept to $\phi$-$\delta$-$r$-hyperideal. Let $\Re$ be a commutative Krasner hyperring with nonzero identity. Given an expansion $\delta$ of hyperideals, a proper hyperideal $N$ of $\Re$ is called $\delta $-$r$-hyperideal if $a\cdot b\in N$ with $ann(a)=0$ implies
Xu, Peng, Bolat, Melis, Kaya, Elif, Onar, Serkan, Ersoy, Bayram Ali, Hila, Kostaq   +5 more
openaire   +2 more sources

Merging N-hyperideals and J-hyperideals in one frame

The notions of N-hyperideals and J-hyperideals as two classes of hyperideals were recently defined in the context of Krasner (m,n)-hyperrings. These concepts are created on the basis of the intersection of all n-ary prime hyperideals and the intersection of all maximal hyperideals, respectively. Despite being vastly different in many aspects, they shar
openaire   +2 more sources

On quasi-ternary hyperideals and bi-ternary hyperideals in ternary hypersemirings

Boletim da Sociedade Paranaense de Matemática
In this article we introduce the notion of quasi-ternary hyperideal in ternary hypersemirings which is the generalization of one-sided hyperideal and study some properties of it. Also, we obtain some characterizations of quasi-ternary hyperideals in a ternary hypersemiring.
Salim Masud, Dharitri Sinha, Kostaq Hila
openaire   +1 more source

Fuzziness and Roughness in Hyperquantales

International Journal of Analysis and Applications, 2020
Theories of fuzzy set and rough set are powerful mathematical tools for modelling various types of uncertainty. In this paper, we introduce the notions of bi-hyperideal, fuzzy bi-hyperideals of hyperquantales and their related properties is given ...
Raees Khan, Maslina Darus, Muhammad Farooq, Asghar Khan, Nasir Khan   +4 more
doaj  

(M,N)-Int-Soft Generalized Bi-Hyperideals of Ordered Semihypergroups

Journal of New Theory, 2018
Molodtsov introduced the concept of soft set as a new mathematical tool fordealing with uncertainties that is free from the difficulties that have troubled the usual theoreticalapproaches.
Muhammad Farooq, Asghar Khan, Muhammad Izhar, Bijan Davvaz   +3 more
doaj  

Fuzzy γ-hyperideals in γ-hypersemirings by using triangular norms. [PDF]

ScientificWorldJournal, 2014
Ersoy BA, Davvaz B, Onar S, Leoreanu-Fotea V.   +3 more
europepmc   +1 more source

Algebraic Hyperstructures of Vague Soft Sets Associated with Hyperrings and Hyperideals. [PDF]

ScientificWorldJournal, 2015
Selvachandran G, Salleh AR.
europepmc   +1 more source

A novel study on the structure of left almost hypermodules. [PDF]

Heliyon
Abughazalah N, Kanwal SS, Mehdi M, Yaqoob N.   +3 more
europepmc   +1 more source