Results 71 to 80 of about 779 (169)
Regular equivalence and strongly regular equivalence on multiplicative ternary hyperring [PDF]
Journal of Hyperstructures, 2015 We introduce the notion of a multiplicative ternary hyperring, consider regular equivalences and strongly regular equivalences of a multiplicative ternary hyperring and investigate their properties.
Md Salim Masud Molla +2 more
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 +2 more
wiley +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
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 +2 more
openaire +1 more source
Relations Between Derivations and Homomorphisms of Ordered Hyperrings
European Journal of Pure and Applied MathematicsThe present study investigates the relation between derivations and hyperideals on ordered hyperrings with no zero divisors. Also, we identify some results for the ordered hyperrings induced by the homomorphism of the ordered hyperrings by derivations ...
Ruiqi Cai, Mashaer Alsaeedi, M. Akhoundi
semanticscholar +1 more source
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 +11 more
wiley +1 more source
An introduction to the theory of algebraic multi-hyperring spaces
Analele 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
On quotient clean hyperring [PDF]
Journal of Hyperstructures, 2015 In this paper, we introduce the notion of quotient Krasner hyperrings and prove that if I is a normal ideal of Krasner hyperring (R, +, ·), then quotient clean Krasner hyperring considered in [1] by Talebi et. al are just clean rings.
S. Ostadhadi-Dehkord
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 +2 more
wiley +1 more source
Vougiouklis Contributions in the Field of Algebraic Hyperstructures
Ratio Mathematica, 2017 Thomas Vougiouklis was born in 1948, Greece. He has many contributions to algebraic hyperstructures. $H_v$-structures are some of his main contributions.
Bijan Davvaz
doaj +1 more source