Results 41 to 50 of about 176 (124)

Some Generalized Forms of Fuzzy Interval Valued Hyperideals in a Hyperring

Journal of Applied Mathematics, 2014
Some generalized forms of the hyperideals of a hyperring in the paper of Zhan et al. (2008) will be given. As a generalization of the interval valued (α,β)-fuzzy hyperideals of a hyperring with α,β∈{∈,q,∈∧q,∈∨q} and α≠∈∧q, the notion of generalized ...
Hongjie Li, Zeyuan Li, Yunqiang Yin
doaj   +1 more source

Multiplicative hyperring of fractions and coprime hyperideals

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this paper we will introduce the notion of coprime hyperideals in multiplicative hyperrings and we will show some properties of them. Then we introduce the notion of hyperring of fractions generated by a multiplicative hyperring and then we will show ...
Ameri R., Kordi A., Hoskova-Mayerova S.
doaj   +1 more source

On d-prime hyperideals of hyperrings [PDF]

Journal of Hyperstructures
For Krasner hyperrings, we study d-prime hyperideals where d is a homo-derivation. Furthermore, we show that every maximal d-hyperideal and d-prime hyperideal is a prime hyperideal of a commutative hyperring.
Maryam Akhoundi, Saber Omidi
doaj   +1 more source

New building blocks for F1${\mathbb {F}}_1$‐geometry: Bands and band schemes

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract We develop and study a generalization of commutative rings called bands, along with the corresponding geometric theory of band schemes. Bands generalize both hyperrings, in the sense of Krasner, and partial fields in the sense of Semple and Whittle.
Matthew Baker, Tong Jin, Oliver Lorscheid   +2 more
wiley   +1 more source

Composition hyperrings

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013
In this paper we introduce the notion of composition hyperring. We show that the composition structure of a composition hyperring is determined by a class of its strong multiendomorphisms.
Cristea Irina, Jančić-Rašović Sanja
doaj   +1 more source

Hyper-twist [PDF]

Digital Creativity, 2009
In this paper, we introduce ‘hyper-twist’, a distortion technique for the production of abstract artistic forms (see Figure 1). It is developed via exploiting the theoretical feature of deforming an infinite space filled with a hyper-elastic media.
Jian Chang 0001, Xiaosong Yang, Jian J. Zhang 0001   +2 more
openaire   +1 more source

A Note on the Local Observability of Uniform Hypergraphs

Proceedings 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

Small, 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, Seoneun Jeong, Jeehee Lee, Jaewook Kim, Jung Seok Lee, Jihye Park, Jungwoo Hong, Jae‐Hoon Eom, Hyungjun Kim, Young Min Rhee, Haeshin Lee, Hee‐Seung Lee   +11 more
wiley   +1 more source

Hyperideal theory in ordered Krasner hyperrings

Analele 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   +1 more source

Ordered Left Almost ⋇‐Semihypergroups Based on Fuzzy Sets

Journal 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, Naveed Yaqoob, Tareq Al-shami   +2 more
wiley   +1 more source