Results 11 to 20 of about 779 (152)
On Refined Neutrosophic Hyperrings [PDF]
Neutrosophic Sets and Systems, 2021 This paper presents the refinement of a type of neutrosophic hyperring in which +’ and ·’ are hyperoperations and studied some of its properties. Several interesting results and examples are presented.
M.A. Ibrahim +3 more
doaj +2 more sources
A novel study on the structure of left almost hypermodules. [PDF]
HeliyonThe 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 +3 more
europepmc +2 more sources
Single-Valued Neutrosophic Hyperrings and Single-Valued Neutrosophic Hyperideals [PDF]
Neutrosophic 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
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Hyperideal-based zero-divisor graph of the general hyperring $ \mathbb{Z}_{n} $
AIMS MathematicsThe aim of this paper is to introduce and study the concept of a hyperideal-based zero-divisor graph associated with a general hyperring. This is a generalized version of the zero-divisor graph associated with a commutative ring.
Mohammad Hamidi, Irina Cristea
doaj +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 +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 +2 more
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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
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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 +1 more
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DIFFERENTIAL MULTIPLICATIVE HYPERRINGS [PDF]
Journal of Algebraic Systems, 2014 There are several kinds of hyperrings, for example, Krasnerhyperrings, multiplicative hyperring, general hyperrings and$H_v$-rings. In a multiplicative hyperring, the multiplication isa hyperoperation, while the addition is a binary operation.
L. Kamali Ardekani, Bijan Davvaz
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Map‐Pointed Fuzzy Hyperoperations
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 In this paper, we establish a correspondence between fuzzy hypergroupoids and certain types of hypergroupoids that possess map‐pointed properties. Specifically, we introduce a new type of fuzzy hyperoperations, known as map‐pointed fuzzy hyperoperations, and show that this correspondence yields an adjunction.
Mohammad Esmaeil Sharbati +4 more
wiley +1 more source