Results 81 to 90 of about 535 (131)

Transitivity of the εm-relation on (m-idempotent) hyperrings

Open Mathematics, 2018
On a general hyperring, there is a fundamental relation, denoted γ*, such that the quotient set is a classical ring. In a previous paper, the authors defined the relation εm on general hyperrings, proving that its transitive closure εm∗$\begin{array}{} \
Norouzi Morteza, Cristea Irina
doaj   +1 more source

A Note on Intuitionistic Fuzzy Hypervector Spaces

, 2010
The notion of Intuitionistic fuzzy hypervector space has been generalized and a few basic properties on this concept are studied. It has been shown that the intersection and union of an arbitrary family of Intuitionistic fuzzy hypervector spaces are also
Roy, Sanjay, Samanta, T. K.
core  

A Hyperring RSA-AES Hybrid Encryption Scheme (HRA-HES): Design, Security Analysis, and Performance Evaluation for Post-Quantum Resilience

NTU Journal of Engineering and Technology
The fast growth of quantum computing puts widely used public-key cryptosystems like RSA and Elliptic Curve Cryptography (ECC) at risk because Shor's algorithm can quickly factor integers and find discrete logarithms.
Hajar Mujeeb Alkhalidy, Nushwan Yousif Baithoon Al-Nakash, Najma F.Fadail   +2 more
doaj   +1 more source

Fundamental relation on m-idempotent hyperrings

Open Mathematics, 2017
The γ*-relation defined on a general hyperring R is the smallest strongly regular relation such that the quotient R/γ* is a ring. In this note we consider a particular class of hyperrings, where we define a new equivalence, called εm∗$\varepsilon^{*}_{m}
Norouzi Morteza, Cristea Irina
doaj   +1 more source

Classical prime subhypermodules and related extensions [PDF]

Categories and General Algebraic Structures with Applications
In this paper, we extend the notion of prime subhypermodulesto $n$-ary classical prime, $n$-ary weakly classical prime and $n$-ary $\phi$-classical prime subhypermodules of an $(m,n)$-hypermodule over a commutative Krasner $(m,n)$-hyperring.
Mahdi Anbarloei
doaj   +1 more source

Scheme theoretic tropicalization

, 2019
In this paper, we introduce ordered blueprints and ordered blue schemes, which serve as a common language for the different approaches to tropicalizations and which enhances tropical varieties with a schematic structure.
Lorscheid, Oliver
core  

Recent results in hyperring and hyperfield theory

International Journal of Mathematics and Mathematical Sciences, 1988
This survey article presents some recent results in the theory of hyperfields and hyperrings, algebraic structures for which the “sum” of two elements is a subset of the structure.
Anastase Nakassis
doaj   +1 more source

Hyper-doing? Hyper-don’t

Journal of the Royal College of Physicians of Edinburgh, 2023
openaire   +2 more sources

The Witt construction in characteristic one and Quantization

We develop the analogue of the Witt construction in characteristic one. We construct a functor from pairs of a perfect semi-ring of characteristic one and an element strictly larger than one, to real Banach algebras.
Connes, Alain
core   +1 more source

hyper-

Nursing standard (Royal College of Nursing (Great Britain) : 1987)
Citation: 'hyper-' in the IUPAC Compendium of Chemical Terminology, 5th ed.; International Union of Pure and Applied Chemistry; 2025. Online version 5.0.0, 2025. 10.1351/goldbook.15787 • License: The IUPAC Gold Book is licensed under Creative Commons Attribution-ShareAlike CC BY-SA 4.0 International for individual terms.
openaire   +3 more sources