Results 41 to 50 of about 107 (94)

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

Some Algebraic Classification of Semiregular Hypermodules in Connection to the Radical

Journal 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, Burcu Nişancı Türkmen, Ma Xuanlong   +2 more
wiley   +1 more source

Algebraic Hyperstructures and Fuzzy Logic in the Treatment of Uncertainty

Science & Philosophy, 2016
This study presents some fundamental aspects of recent theories  on algebraic Hyperstructures, an important tool for an interdisciplinary vision of Geometry and Algebra. We examine some hypergroupoids of events, useful for a new algebraic-geometry perspective in the study and issues of probability applications.
Annamaria Porreca, Antonio Maturo
openaire   +3 more sources

Topological Properties of Prime Filters and Minimal Prime Filters on a Paradistributive Latticoid

International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.
In this paper, we study the concepts of prime filters and minimal prime filters on a paradistributive latticoid (PDL) and discuss various results. In addition, we prove that the annihilator filter S• is equal to the intersection of all prime filters not containing S.
Suryavardhani Ajjarapu, Ravikumar Bandaru, Ramakoteswara Rao Kotha, Rahul Shukla, Anwar Saleh Alwardi   +4 more
wiley   +1 more source

Hyperstructures of affine algebraic group schemes

Journal of Number Theory, 2016
We impose a rather unknown algebraic structure called a `hyperstructure' to the underlying space of an affine algebraic group scheme. This algebraic structure generalizes the classical group structure and is canonically defined by the structure of a Hopf algebra of global sections.
openaire   +2 more sources

On single valued neutrosophic sets and neutrosophic א-structures: Applications on algebraic structures (hyperstructures)

International Journal of Neutrosophic Science, 2020
In this paper, we find a relationship between SVNS and neutrosophic N-structures and study it. Moreover, we apply our results to algebraic structures (hyperstructures) and prove that the results on neutrosophic N-substructure (subhyperstructure) of a given algebraic structure (hyperstructure) can be deduced from single valued neutrosophic algebraic ...
Madeleine Al-Tahan, Bijan Davvaz
openaire   +2 more sources

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. In this article, we study some of Vougiouklis ideas in the field of algebraic hyperstructures as follows: (1) Semi-direct hyperproduct of two hypergroups; (2) Representation of hypergroups; (3 ...
openaire   +2 more sources

Dominating sets in graph theory and algebraic hyperstructures

Filomat
The study of hyperstructures and their connections with other branches of mathematics has been explored by various researchers. In this context, several studies have investigated the relationship between hyperstructures and Graph Theory. This paper aims to establish new connections between Hyperstructure Theory and Graph Theory by focusing on the ...
M. Golmohamadian, M. Shamsizadeh, M.M. Zahedi, N. Soltankhah   +3 more
openaire   +1 more source

Algebra Hyperstructure Concept and Its Application on Oxidation Reduction: Actinium (Ac) and Berkelium (Bk)

Tensor: Pure and Applied Mathematics Journal
The concept of algebraic hyperstructure is a generalization of the concept of algebraic structure. The algebraic hyperstructure concepts discussed in this research include hypergroups, semihypergroups, and -group and it is known that this concept has application in the field of science, one of which in the field of chemistry, namely redox reactions ...
Novita Dahoklory, Dorteus L Rahakbauw, Henry Willyam Michel Patty, Elsa Huwae   +3 more
openaire   +1 more source

A stochastic automaton shows how enzyme assemblies may contribute to metabolic efficiency. [PDF]

BMC Syst Biol, 2008
Amar P, Legent G, Thellier M, Ripoll C, Bernot G, Nystrom T, Saier MH, Norris V.   +7 more
europepmc   +1 more source