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

open access: goldScientificWorldJournal, 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   +4 more sources

Generalized Centroid of Hyperrings

open access: diamondDiscussiones Mathematicae - General Algebra and Applications, 2022
In this paper, the notion of generalized centroid is applied to hyperrings. We show that the generalized centroid C of a semiprime hyperring R is a regular hyperring. Also, we show that if C is a hyperfield, then R is a prime hyperring.
Yazarli Hasret   +2 more
doaj   +2 more sources

On Characterizations of (ω, ε, ς)-Single Valued Neutrosophic Hyperrings and Hyperideals [PDF]

open access: greenNeutrosophic Sets and Systems, 2022
This study included concepts for (ω, ε, ς)-single valued neutrosophic hyperring ((ω, ε, ς)-SV NHR) and (ω, ε, ς)-single valued neutrosophic hyperideal ((ω, ε, ς)-SV NHI).
Muhammad Shazib Hameed   +3 more
doaj   +2 more sources

An introduction to the theory of algebraic multi-hyperring spaces [PDF]

open access: diamondAnalele 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.
Hila Kostaq, Davvaz Bijan
doaj   +2 more sources

Retracted: Topological Structures of Lower and Upper Rough Subsets in a Hyperring [PDF]

open access: gold, 2023
Journal of Mathematics, Volume 2023, Issue 1, 2023.
Journal of Mathematics
openalex   +2 more sources

Normal Self-injective Hyperrings

open access: goldمجلة بغداد للعلوم, 2022
       In this paper normal self-injective hyperrings are introduced and studied. Some new relations between this concept and essential hyperideal, dense hyperideal, and divisible hyperring are studied. 
Mayssam Fadel Abood   +1 more
doaj   +3 more sources

The commutative quotient structure of m-idempotent hyperrings [PDF]

open access: diamondAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020
The α* -relation is a fundamental relation on hyperrings, being the smallest strongly regular relation on hyperrings such that the quotient structure R/α* is a commutative ring.
Zadeh Azam Adineh   +2 more
doaj   +2 more sources

HYPERIDEALS IN M-POLYSYMMETRICAL HYPERRINGS [PDF]

open access: greenJournal of Algebraic Systems, 2019
An M-polysymmetrical hyperring $(R,+,cdot )$ is an algebraic system, where $(R,+)$ is an M-polysymmetrical hypergroup, $(R,cdot )$ is a semigroup and $cdot$ is bilaterally distributive over $+$.
M. A. Madani, S. Mirvakili, B. Davvaz
doaj   +2 more sources

Hyperideal theory in ordered Krasner hyperrings

open access: diamondAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper, we study some properties of ordered Krasner hyper-rings. Also we state some definitions and basic facts and prove some results on ordered Krasner hyperring (R, +, ·, ≤).
Omidi Saber, Davvaz Bijan
doaj   +2 more sources

On the relation between hyperrings and fuzzy rings [PDF]

open access: green, 2017
We construct a full embedding of the category of hyperfields into Dress's category of fuzzy rings and explicitly characterize the essential image --- it fails to be essentially surjective in a very minor way. This embedding provides an identification of
A Connes   +8 more
core   +3 more sources

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