Results 1 to 10 of about 196 (109)

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   +5 more sources

On 1-Absorbing Prime Hyperideal and Some of Its Generalizations

Journal of Mathematics, 2022
In this paper, we introduce the concept of 1-absorbing prime hyperideals which is an expansion of the prime hyperideals. Several properties of the hyperideals are provided.
M. Anbarloei
doaj   +6 more sources

δ-Primary Hyperideals on Commutative Hyperrings [PDF]

International Journal of Mathematics and Mathematical Sciences, 2017
The purpose of this paper is to define the hyperideal expansion. Hyperideal expansion is associated with prime hyperideals and primary hyperideals. Then, we define some of their properties.
Elif Ozel Ay, Gürsel Yesilot, Deniz Sonmez   +2 more
doaj   +4 more sources

A GENERALIZATION OF PRIME HYPERIDEALS [PDF]

Journal of Algebraic Systems, 2020
‎‎Let $R$ be a multiplicative hyperring‎. In this paper‎, ‎we introduce and study the concept of n-absorbing hyperideal which is a generalization‎ ‎of prime hyperideal‎.
M. Anbarloei
doaj   +6 more sources

Completely Prime Hyperideals of Ternary Semihypergroups

Discussiones Mathematicae - General Algebra and Applications, 2020
In this article, we introduce the notions of pseudosymmetric hyperideals and globally idempotent ternary semihypergroups and present various examples for them.
Sarala Y., Mani P. Seetha, Gulistan M., Lalitha G. Jaya   +3 more
doaj   +2 more sources

On d-prime hyperideals of hyperrings [PDF]

Journal of Hyperstructures
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.
Maryam Akhoundi, Saber Omidi
doaj   +2 more sources

Weakly $S$-prime hyperideals [PDF]

Journal of Mahani Mathematical Research
‎‎The purpose of this paper is presenting a new expansion class, namely weakly ‎$‎n‎$‎-ary ‎$‎S‎$‎-prime hyperideals in Krasner ‎$‎(m,n)‎$‎-hyperrings. In summary, we give an extension of ‎‎$‎n$-ary $‎S‎$‎-prime hyperideals. Some results and examples are
Mahdi Anbarloei
doaj   +3 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

(u,v)-absorbing (prime) hyperideals in commutative multiplicative hyperrings

In this paper, we will introduce the notion of (u,v)-absorbing hyperideals in multiplicative hyperrings and we will show some properties of them. Then we extend this concept to the notion of (u,v)-absorbing prime hyperideals and thhen we will give some ...
Anbarloei, Mahdi
core   +2 more sources

A note on weakly prime hyperideals and (1, n) hyperideals on multiplicative hyperrings [PDF]

Thermal Science, 2022
In this article we give the definition of weakly prime hyperideals over multiplicative hyperring. We provide important results showing the relations between prime hyperideals and weakly prime hyperideals. Then we give definition of weakly n-hyperideal and weakly (1,n) hyperideal over multiplicative hyperrings.
Yeşilot, Gürsel, Özel Ay, Elif
openaire   +3 more sources