Results 1 to 10 of about 535 (131)

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

ScientificWorldJournal, 2015
We apply the classical theory of hyperrings to vague soft sets to derive the concepts of vague soft hyperrings, vague soft hyperideals, and vague soft hyperring homomorphism.
Selvachandran G, Salleh AR.
europepmc   +2 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, Sarka Hoskova-Mayerova   +2 more
exaly   +3 more sources

The associated hyperringoid to a Krasner hyperring

Journal of Taibah University for Science, 2018
“Ends Lemma” is used to construct a hypergroupoid from a (quasi) partially ordered groupoid. But this lemma does not work well for creating a hyperringoid from a (partially) ordered ringoid.
Hakimeh Mirabdollahi, S M Anvariyeh, S Mirvakili   +2 more
exaly   +2 more sources

An introduction to the theory of algebraic multi-hyperring spaces

Analele Stiintifice Ale Universitatii Ovidius Constanta, Seria Matematica, 2014
A Smarandache multi-space is a union of n different spaces equipped with some different structures for an integer n ≥ 2 which can be used both for discrete or connected spaces, particularly for geometries and spacetimes in theoretical physics.
Kostaq Hila, Bijan Davvaz
exaly   +2 more sources

Regular Parameter Elements and Regular Local Hyperrings

Mathematics, 2021
Inspired by the concept of regular local rings in classical algebra, in this article we initiate the study of the regular parameter elements in a commutative local Noetherian hyperring.
Hashem Bordbar, Irina Cristea
exaly   +3 more sources

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

Heliyon
The concept of left almost hypermodule evolves as a novel extension in the field of abstract algebra, specifically within the broader framework of hypermodules.
Abughazalah N, Kanwal SS, Mehdi M, Yaqoob N.   +3 more
europepmc   +2 more sources

On hyperideals of Krasner hyperrings based on derived unitary rings [PDF]

Journal of Mahani Mathematical Research, 2022
In this paper first, we introduce and analyze the strongly regular relations $\lambda^*_{e}$ and $\Lambda^*_{e}$ on a hyperring such that the derived quotient ring is unitary and unitary commutative, respectively. Next, we define and study the notion of $
Seyed Shahin Mousavi, Morteza Jafarpour, Hojat Babaei, Irina Cristea   +3 more
doaj   +1 more source

Hyperideals of (Finite) General Hyperrings [PDF]

Mathematics Interdisciplinary Research, 2021
A general hyperring is an algebraic hypercompositional system (R,+,·) with two hyperoperations ”+" and ” · ”, such that for all x,y ∈ R, x + y and x · y are non-empty subsets of R, and R satisfies the axioms similar to a ring.
Reza Ameri, Mohammad Hamidi, Hoda Mohammadi   +2 more
doaj   +1 more source

Semi-derivation on prime hyperrings [PDF]

Journal of Hyperstructures, 2023
In this paper, we study the notion of semi-derivation in Krasner hyperring and present some examples of them.We intro-duce the concept of generalized semi-derivation in Krasner hyper-ring and present some examples.Then, we derive some properties of semi ...
Nikhil D. Sonone, Kishor F. Pawar
doaj   +1 more source

Some Results on the Divisible Hyperrings

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023
    A class of hyperrings known as divisible hyperrings will be studied in this paper. It will be presented as each element in this hyperring is a divisible element.
Mayssam Fadel Abood, Tamadher Arif Ibrahiem   +1 more
doaj   +1 more source