Results 1 to 10 of about 411 (135)

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

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

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

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

Characterizations of Hyperrings by Fuzzy Hyperideals with Respect to A t-norm [PDF]

open access: goldFuzzy Information and Engineering, 2017
In this paper, we inquire further into the properties on some kind fuzzy hyperideals and we study the hyperrings via T-fuzzy hyperideals. By means of the use of a triangular norm T, we define, characterize and study the T-fuzzy left and right hyperideals,
Kostaq Hila, Krisanthi Naka
doaj   +2 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

Associate, Hyperdomainlike, and Presimplifiable Hyperrings [PDF]

open access: goldJournal of Mathematics, 2014
Based on the works of Axtell et al., Anderson et al., and Ghanem on associate, domainlike, and presimplifiable rings, we introduce new hyperrings called associate, hyperdomainlike, and presimplifiable hyperrings.
Agboola Adesina Abdul Akeem   +1 more
doaj   +2 more sources

A note on composition (m, n)-hyperrings [PDF]

open access: diamondAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
Based on the concepts of composition ring and composition hyper- ring, in this note we introduce the notion of composition structure for (m, n)-hyperrings and study the connections with composition hy- perrings.
Norouzi Morteza, Cristea Irina
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

Single-Valued Neutrosophic Hyperrings and Single-Valued Neutrosophic Hyperideals [PDF]

open access: greenNeutrosophic Sets and Systems, 2019
In this paper, we introduced the concepts of Single-valued neutrosophic hyperring and Single-valued neutrosophic hyperideal. The algebraic properties and structural characteristics of the single-val-ued neutrosophic hyperrings and hyperideals are ...
D. Preethi   +4 more
doaj   +3 more sources

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