Results 61 to 70 of about 294 (94)

A Note on the Local Observability of Uniform Hypergraphs

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 25, Issue 1, March 2025.
ABSTRACT Hypergraphs generalize graphs in such a way that edges may connect any number of nodes. If all edges are adjacent to the same number of nodes, the hypergraph is called uniform. Thus, a graph is a 2‐uniform hypergraph. Each uniform hypergraph can be identified with an autonomous dynamical state‐space system, whose vector field is composed of ...
Daniel Gerbet, Klaus Röbenack
wiley   +1 more source

Red Fluorescence from Organic Microdots: Leveraging Foldamer‐Linked Azobenzene for Enhanced Stability and Intensity in Bioimaging Applications

open access: yesSmall, Volume 20, Issue 46, November 14, 2024.
This study highlights the enhanced fluorescence and photostability of a specialized azo‐foldamer (cis‐F1) featuring a chromophore/linker/β‐peptide sequence in its aggregated state. Biological assays reveal a self‐sacrificial mechanism in cis‐F1 microdots, preserving fluorescence post‐injection.
Lianjin Zhang   +11 more
wiley   +1 more source

An introduction to the theory of algebraic multi-hyperring spaces

open access: yesAnalele 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   +1 more source

Ordered Left Almost ⋇‐Semihypergroups Based on Fuzzy Sets

open access: yesJournal of Mathematics, Volume 2024, Issue 1, 2024.
The concept of an involution or anti‐involution is a self‐inverse linear mapping that plays a prominent role in the theory of algebraic structures, particularly rings, hyperrings, ordered semigroups, and ordered semihypergroups. Nowadays, the study of involutions in ordered hyperstructures is a particular area of research in the field of hyperstructure
Nabilah Abughazalah   +2 more
wiley   +1 more source

Some Algebraic Classification of Semiregular Hypermodules in Connection to the Radical

open access: yesJournal of Mathematics, Volume 2024, Issue 1, 2024.
We call a Krasner right S‐hypermodule A regular if each cyclic subhypermodule of A is a direct summand of A, and we also call A semiregular if every finitely generated subhypermodule of A lies above a direct summand of A. In this study, some properties of such hypermodules are achieved.
Yıldız Aydın   +2 more
wiley   +1 more source

Weakly $S$-prime hyperideals [PDF]

open access: yesJournal of Mahani Mathematical Research
‎‎The purpose of this paper is presenting a new expansion class, namely weakly ‎$‎n‎$‎-ary ‎$‎S‎$‎-prime hyperideals in Krasner ‎$‎(m,n)‎$‎-hyperrings. In summary, we give an extension of ‎‎$‎n$-ary $‎S‎$‎-prime hyperideals. Some results and examples are
Mahdi Anbarloei
doaj   +1 more source

On Hyperideals of Multiplicative Hyperrings

open access: yesCumhuriyet Science Journal, 2022
Let R be a commutative multiplicative hyperring. In this paper, we introduce and study the concepts of n-hyperideal and δ-n-hyperideal of R which are generalization of n-ideals and δ-n-ideals of the in a commutative ring.
Ummahan Merdinaz Acar, Betül Coşgun
doaj   +1 more source

Hyperrings with n -ary composition hyperoperation

open access: yes, 2017
Based on the concepts of composition ring and composition hyperring, in this note we introduce the notion of $n$-ary composition hyperring and study the connections with composition hyperrings.
Irina Cristea   +3 more
core   +1 more source

Spectrum of Zariski Topology in Multiplication Krasner Hypermodules

open access: yesMathematics, 2023
In this paper, we define the concept of pseudo-prime subhypermodules of hypermodules as a generalization of the prime hyperideal of commutative hyperrings.
Ergül Türkmen   +2 more
doaj   +1 more source

HYPERIDEALS IN M-POLYSYMMETRICAL HYPERRINGS [PDF]

open access: yesJournal 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   +1 more source

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