Results 11 to 20 of about 265,460 (124)

Some Properties of Multiplicative -Rings of Polynomials over Multiplicative Hyperrings

Algebra, Volume 2014, Issue 1, 2014., 2014
The set of all polynomials , over a multiplicative hyperring , form a commutative group with respect to the component-wise addition (
U. Dasgupta
semanticscholar   +2 more sources

On Prime and Primary Hyperideals of a Multiplicative Hyperring

Annals of the Alexandru Ioan Cuza University - Mathematics, 2012
Summary: Procesi and Rota introduced and studied in brief the prime hyperideals of multiplicative hyperrings. Here we intend to investigate extensively the prime and primary hyperideals of multiplicative hyperrings with absorbing zero. Defining the radical of a hyperideal \(I\) of a multiplicative hyperring with absorbing zero, as the intersection of ...
U. Dasgupta
semanticscholar   +2 more sources

J-hyperideals and related generalizations ‎in ‎ ‎multiplicative ‎hyperrings [PDF]

Journal of Mahani Mathematical Research
‎In this paper‎, ‎we define the concept of $J$-hyperideals which is a generalization of $n$-hyperideals‎. ‎A proper hyperideal $I$ of a multiplicative hyperring $R$ is said to be a $J$-hyperideal if $x,y\in R$ such that $x \circ y \subseteq I$‎, ‎then ...
Mahdi Anbarloei, Ali Behtoei
doaj   +3 more sources

Generalizations of Prime Hyperideals via Hypersystems in Krasner Hyperrings

Axioms
The aim of this study is to investigate generalized prime hyperideals in the framework of Krasner hyperrings. To this end, new classes of hyperideals are introduced and analyzed based on multiplicatively closed properties.
Mehmet Bozdaş, Ummahan Acar
doaj   +2 more sources

On 2-absorbing Primal Hyperideals Of Multiplicative Hyperrings [PDF]

, 2020
Let R be a commutative multiplicative hyperring. In this paper, we introduce the concept of 2-absorbing primal hyperideals. A non zero hyperideal I of a multiplicative hyperring R is called a 2-absorbing primal hyperideal of R if the set of all elements ...
AL-Ashker, Mohammed M., Ashour, Arwa, Subouh, Sana   +2 more
core   +4 more sources

Graded hyperideals-based graphs on weak graded multiplicative hyperrings

Journal of Algebra and Its Applications
In this paper, we introduce the notion of weak monoid-graded multiplicative hyperrings and present their properties, special the relation to monoid-graded multiplicative hyperrings.
P. Ghiasvand, Shirin Toghanipour, M. Hamidi   +2 more
semanticscholar   +2 more sources

$n-$absorbing $I-$prime hyperideals in multiplicative hyperrings

, 2023
In this paper, we define the concept $I-$prime hyperideal in a multiplicative hyperring $R$. A proper hyperideal $P$ of $R$ is an $I-$prime hyperideal if for $a, b \in R$ with $ab \subseteq P-IP$ implies $a \in P$ or $b \in P$.
Akray, Ismael, Mina, Ali A.
core   +2 more sources

Extensions of n-ary prime hyperideals via an n-ary multiplicative subset in a Krasner (m,n)-hyperring [PDF]

Filomat, 2022
Let R be a Krasner (m, n)-hyperring and S be an n-ary multiplicative subset of R. The purpose of this paper is to introduce the notion of n-ary S-prime hyperideals as a new expansion of n-ary prime hyperideals.
M. Anbarloei
semanticscholar   +1 more source

Generalizations of 2-Absorbing Primary Hyperideals of Multiplicative Hyperrings [PDF]

مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2023
In this paper, we introduce the concept of ϕ-2-absorbing primary hyperideals in multiplicative hyperrings. Several results concerning ϕ-2-absorbing primary hyperideals are proved.
Mohammad Hamoda
doaj   +1 more source

Regular equivalence and strongly regular equivalence on multiplicative ternary hyperring [PDF]

Journal of Hyperstructures, 2015
We introduce the notion of a multiplicative ternary hyperring, consider regular equivalences and strongly regular equivalences of a multiplicative ternary hyperring and investigate their properties.
Md Salim Masud Molla, T. Chanda, T. K. Dutta   +2 more
doaj   +1 more source