Results 1 to 10 of about 763 (156)

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   +4 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

Hyper-Kamiokande [PDF]

Journal of Instrumentation, 2020
A next generation water Cherenkov detector Hyper-Kamiokande to be built in Japan is described. The main goals of this project include a sensitive measurement of CP violation in neutrino oscillations, a search for proton decay and study of solar, atmospherics and astrophysical neutrinos. Key features of the Hyper-Kamiokande detector are described.
  +6 more sources

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

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
doaj   +1 more source

Generalized Centroid of Hyperrings

Discussiones 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, Davvaz Bijan, Yilmaz Damla   +2 more
doaj   +1 more source

HYPER PATHS AND HYPER CYCLES [PDF]

International Journal of Pure and Apllied Mathematics, 2015
In graphs, paths are walks with no repeated vertex. A fortiori, paths cannot have any repeated edge. But in hypergraphs, hyperedges can re- peat in vertex-to-vertex walks without causing repetition of any vertex. This is the crux of the idea of generalizing paths and cycles (from graphs to hyper- graphs) presented in this short article.
R. Dharmarajan, K. Kannan
openaire   +1 more source