Results 51 to 60 of about 189 (116)

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

Helix hyperoperation in teaching research

Science & Philosophy, 2020
Interaction between sciences has always been an optimum. Within this frame of interdisciplinary approach, an attempt is made to apply a method, a mathematical model, used in the Hyperstructure Theory, in teaching and research procedure. More specifically, when dealing with a great amount of data arranged in a ‘linear’ disposal, it is quite difficult to
openaire   +2 more sources

A New Characterization of Restriction-Closed Hyperclones

, 2020
A hyperoperation is a mapping from a domain to the powerset of the domain. Hyperoperations can be composed together to form new hyperoperations, and the resulting sets are called hyperclones.
Victor Lagerkvist, Lagerkvist, Victor,
core   +1 more source

Infinite Sets and Hyperoperations [PDF]

The purpose of this paper is to explore infinite sets and classes by mean hyperoperations. With ideal notion, the idea of extending infinite sets is as large as those objects.
Brito, Kelvyn
core   +1 more source

Hyperoperations in exponential fields

, 2020
25 pages. Some sections where removed. New sections added.
openaire   +2 more sources

Color hypergroup and join space obtained by the vertex coloring of a graph

, 2017
In this paper, some new classes of hyperoperations, extracting from the vertex coloring of a graph, are presented. By these hyperoperations, we define a color hypergroup and a color join space on the vertex set of a graph.
M. Golmohamadian, M.M. Zahedi
core   +1 more source

Multivalued linear transformations of hyperspaces

Ratio Mathematica, 2014
The purpose of this paper is the study of multivalued linear transformations of hypervector spaces (or hyperspaces) in the sense of Tallini. In this regards first we introduce and study various multivalued linear transformations of hyperspaces and then ...
R. Ameri, R. A. Borzooei, K. Ghadimi
doaj   +1 more source

Pre-semihyperadditive Categories

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper we extend the notion of classical (pre-)semiadditive category to (pre-)semihyperadditive category. Algebraic hyperstructures are algebraic systems whose objects possessing the hyperoperations or multi-valued operation.
Shojaei H., Ameri R., Hoskova-Mayerova S.   +2 more
doaj   +1 more source

Introduction to Dependence Relations and Their Links to Algebraic Hyperstructures

Mathematics, 2019
The aim of this paper is to study, from an algebraic point of view, the properties of interdependencies between sets of elements (i.e., pieces of secrets, atmospheric variables, etc.) that appear in various natural models, by using the algebraic ...
Irina Cristea, Juš Kocijan, Michal Novák   +2 more
doaj   +1 more source

A Neutrosophic Deep Hyper-Algebraic Model for University Physical Education Teaching: A Multilayered Analytical Framework [PDF]

Neutrosophic Sets and Systems
This paper introduces a novel mathematical framework titled the Neutrosophic Deep Hyper-Algebraic Model (NDHAM) designed to address the inherent indeterminacy, vagueness, and contradiction in university physical education teaching systems.
Wei Xu
doaj   +1 more source