Results 1 to 10 of about 58,058 (118)

2-Prime Hyperideals of Multiplicative Hyperrings

Journal of Mathematics, 2022
Multiplicative hyperrings are an important class of algebraic hyperstructures which generalize rings further to allow multiple output values for the multiplication operation. Let R be a commutative multiplicative hyperring.
Mahdi Anbarloei
doaj   +4 more sources

DIFFERENTIAL MULTIPLICATIVE HYPERRINGS [PDF]

Journal of Algebraic Systems, 2014
There are several kinds of hyperrings, for example, Krasnerhyperrings, multiplicative hyperring, general hyperrings and$H_v$-rings. In a multiplicative hyperring, the multiplication isa hyperoperation, while the addition is a binary operation.
L. Kamali Ardekani, Bijan Davvaz
doaj   +5 more sources

Multiplicative hyperring of fractions and coprime hyperideals [PDF]

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this paper we will introduce the notion of coprime hyperideals in multiplicative hyperrings and we will show some properties of them. Then we introduce the notion of hyperring of fractions generated by a multiplicative hyperring and then we will show ...
Ameri R., Kordi A., Hoskova-Mayerova S.
doaj   +3 more sources

Superring of Polynomials over a Hyperring

Mathematics, 2019
A Krasner hyperring (for short, a hyperring) is a generalization of a ring such that the addition is multivalued and the multiplication is as usual single valued and satisfies the usual ring properties.
Reza Ameri, Mansour Eyvazi, Sárka Hoskova-Mayerova   +2 more
exaly   +4 more sources

Complementary multiplicative hyperrings [PDF]

Discrete Mathematics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
PROCESI, Rita, ROTA R.
exaly   +7 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   +5 more sources

Primal hyperideals of multiplicative hyperring [PDF]

Journal of Algebraic Hyperstructures and Logical Algebras, 2021
Summary: In this paper, we introduce the concepts of adjoint, \(\mathrm{n}\)-adjoint of a hyperideals and primal and \(\mathrm{n}\)-primly hyperideals of a commutative multiplicative hyperrings. Many results con-cerning prime, \(\mathrm{n}\)-primly, primary and primal hyperideals of a commutative multiplicative hy-perrings are given, illustrated by ...
Al-Ashker, Mohammed M., ashour, Arwa, Sabouh, Sanna   +2 more
core   +10 more sources

On Hyperideals of Multiplicative Hyperrings

Cumhuriyet Science Journal, 2022
Let R be a commutative multiplicative hyperring. In this paper, we introduce and study the concepts of n-hyperideal and δ-n-hyperideal of R which are generalization of n-ideals and δ-n-ideals of the in a commutative ring.
Ummahan Merdinaz Acar, Betül Coşgun
doaj   +3 more sources

On Prime and Primary Hyperideals of a Multiplicative Hyperring

Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica, 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 ...
exaly   +2 more sources

n−ABSORBING I−PRIME HYPERIDEALS IN MULTIPLICATIVE HYPERRINGS [PDF]

Journal of Algebraic Systems
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 $b \in P$.
Ali Abdullah Mena, Ismael Akray
doaj   +2 more sources