Results 1 to 10 of about 133 (91)

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   +6 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   +7 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   +4 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   +3 more sources

Contribution to study special kinds of hyperideals in ordered semihyperrings

Journal of Taibah University for Science, 2017
In the present paper, we introduce the notion of k-hyperideals on ordered semihyperrings. Then, we investigate some fundamental properties of k-hyperideals of ordered semihyperrings.
Bijan Davvaz
exaly   +4 more sources

A study on (i-v) prime fuzzy hyperideal of semihypergroups

Afrika Matematika, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S Kar, Paltu Sarkar
exaly   +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

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

Spectrum of Zariski Topology in Multiplication Krasner Hypermodules

Mathematics, 2023
In this paper, we define the concept of pseudo-prime subhypermodules of hypermodules as a generalization of the prime hyperideal of commutative hyperrings.
Ergül Türkmen, Burcu Nişancı Türkmen, Öznur Kulak   +2 more
doaj   +2 more sources

Height of prime hyperideals in Krasner hyperrings

Filomat, 2017
Extending the notion of dimension of a hyperring, we introduce the concept of height of a prime hyperideal of a hyperring, similarly as in ring theory, and we present some basic properties and relations with the dimension notion.
Hashem Bordbar, Irina Cristea
core   +3 more sources