Results 51 to 60 of about 535 (131)
Hyperfield extensions, characteristic one and the Connes-Consani plane connection [PDF]
, 2014 Inspired by a recent paper of Alain Connes and Catherina Consani which connects the geometric theory surrounding the elusive field with one element to sharply transitive group actions on finite and infinite projective spaces ("Singer actions"), we ...
Thas, Koen
core
The algebraic hyperstructure of elementary particles in physical theory
, 2010 Algebraic hyperstructures represent a natural extension of classical algebraic structures. In a classical algebraic structure, the composition of two elements is an element, while in an algebraic hyperstructure, the composition of two elements is a set ...
A Kiseleva +8 more
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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
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
About the Normal Projectivity and Injectivity of Krasner Hypermodules
Axioms, 2021 Inspired by the concepts of projective and injective modules in classical algebraic structure theory, in this paper we initiate the study of the chains of hypermodules over a Krasner hyperring R, endowing first the set HomRn(M,N) of all normal ...
Hashem Bordbar, Irina Cristea
doaj +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
Derived Hyperstructures from Hyperconics
Mathematics, 2020 In this paper, we introduce generalized quadratic forms and hyperconics over quotient hyperfields as a generalization of the notion of conics on fields.
Vahid Vahedi +5 more
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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
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
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Fundamental System and Boundary Structure of Topological Krasner Hypermodules [PDF]
Sahand Communications in Mathematical AnalysisIn this article, we first define hyperstructures known as Krasner hypermodules. Then, the concept of topological Krasner hypermodules is explored, examining their fundamental propertiesand the notion of continuous mappings that exist between such ...
Azam Zare, Bijan Davvaz
doaj +1 more source