Results 11 to 20 of about 748 (136)

Applications of (Neutro/Anti)sophications to Semihypergroups

Journal of Mathematics, 2021
In this paper, we extend the notion of semi-hypergroups (resp. hypergroups) to neutro-semihypergroups (resp. neutro-hypergroups). We investigate the property of anti-semihypergroups (resp. anti-hypergroups).
A. Rezaei, F. Smarandache, S. Mirvakili
doaj   +3 more sources

Euler's totient function applied to complete hypergroups

AIMS Mathematics, 2023
We study the Euler's totient function (called also the Euler's phi function) in the framework of finite complete hypergroups. These are algebraic hypercompositional structures constructed with the help of groups, and endowed with a multivalued operation,
Andromeda Sonea, Irina Cristea
doaj   +2 more sources

Penentuan Hiperstruktur Aljabar dan Karakteristiknya dalam Masalah Pewarisan Biologi

Jambura Journal of Mathematics
This article discusses the application of mathematics in biological inheritance problems, which are closely linked to mathematical studies, particularly in algebraic hyperstructures, including hypergroupoids, hypergroups, and -semigroups.
Alifa Raida Alamsyah, Edi Kurniadi, Anita Triska   +2 more
doaj   +2 more sources

The Reducibility Concept in General Hyperrings

Mathematics, 2021
By using three equivalence relations, we characterize the behaviour of the elements in a hypercompositional structure. With respect to a hyperoperation, some elements play specific roles: their hypercomposition with all the elements of the carrier set ...
Irina Cristea, Milica Kankaraš
doaj   +2 more sources

Reducibility in Corsini hypergroups

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
In this paper, we study the reducibility property of special hyper-groups, called Corsini hypergroups, named after the mathematician who introduced them.
Kankaras Milica
doaj   +2 more sources

An Overview of Topological and Fuzzy Topological Hypergroupoids

Ratio Mathematica, 2017
On a hypergroup, one can define a topology such that the hyperoperation is pseudocontinuous or continuous. This concepts can be extend to the fuzzy case and a connection between the classical and the fuzzy (pseudo)continuous hyperoperations can be given.
Sarka Mayerova
doaj   +2 more sources

Hyperoperations defined on sets of S -helix matrices [PDF]

Journal of Algebraic Hyperstructures and Logical Algebras, 2020
A hyperproduct on non-square ordinary matrices can be defined by using the helix-hyperoperation. Therefore, the helix-hyperoperation (abbreviated hope ) is based on a classical operation and was introduced in order to overcome the non-existing cases.
Souzana Vougioukli
openaire   +2 more sources

Quasi-Order Hypergroups and T-Hypergroups

Ratio Mathematica, 2017
Quasi-order hypergroups were introduced by J. Chvalina in 90s of the last century. They form a subclass of the class of all hypergroups, i.e. structures with one associative hyperoperation fulfilling the reproduction axiom.
Šárka Hošková-Mayerová
doaj   +2 more sources

A Novel Approach in Number Theory for Representing Large Numbers: The Arrow-Free Notation

Al-Kitab Journal for Pure Sciences
This article introduces a new notation for expressing extremely large numbers, based on the hyperoperation concept in group theory. The method employs a finite sequence of positive integers separated by specific notational symbols, allowing for concise ...
Laith H. M. Al-Ossmi
doaj   +2 more sources

A Novel Study on Ordered Anti‐Involution LA‐Semihypergroups

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
In this study, we introduce a new concept called “anti‐involution” in relation to ordered LA‐semihypergroups. An anti‐involution is basically an involuntary automorphism, which is just a fancy term for a mathematical function that can be reversed. We looked at several fundamental results before introducing anti‐involution hyperideals.
Nabilah Abughazalah, Naveed Yaqoob, Tareq Al-shami   +2 more
wiley   +1 more source