Results 11 to 20 of about 186 (132)

A HYPEROPERATION DEFINED ON A GROUPOID EQUIPPED WITH A MAP

Ratio Mathematica, 2005
The Hv-structures are hyperstructures where the equality is replaced by the non-empty intersection. The fact that this class of the hyperstructures is very large, one can use it in order to define several objects that they are not possible to be defined ...
Thomas Vougiouklis
doaj   +3 more sources

An Overview of Topological and Fuzzy Topological Hypergroupoids [PDF]

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   +3 more sources

The New Notation for Hyperoperation of a Sequence

, 2022
For a sequence a_1, a_2, ..., a_n, we define the exponent, tetration and pentation of a sequence a_n as E_{k=1}^{n} (a_k) = a_1[3]a_2[3]...[3]a_n, T_{k=1}^{n} (a_k) = a_1[4]a_2[4]...[4]a_n, Phi_{k=1}^{n} (a_k) = a_1[5]a_2[5]...[5]a_n. Also, we define the i-th hyperoperation of a sequence a_n as {H_i}_{k=1}^{n} (a_k) = a_1[i]a_2[i]...[i]a_n.
Kyumin Nam
core   +4 more sources

DIFFERENTIAL MULTIPLICATIVE HYPERRINGS [PDF]

Journal of Algebraic Systems, 2014
There are several kinds of hyperrings, for example, Krasnerhyperrings, multiplicative hyperring, general hyperrings and$H_v$-rings. In a multiplicative hyperring, the multiplication isa hyperoperation, while the addition is a binary operation.
L. Kamali Ardekani, Bijan Davvaz
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

Redox reactions as experimental examples of ternary weak algebraic hyperstructures

Bulletin of Computational Applied Mathematics, 2016
A ternary hyperoperation on a set H is a 3-ary hyperoperation, which associates a subset of H with any three elements of H. In this paper, we give examples of ternary hyperoperations associated with redox reactions.
Bijan Davvaz, Violeta Leoreanu-Fotea, Feng Feng   +2 more
doaj   +1 more source

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

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   +3 more sources

ALGEBRA ASTRATTA E INSEGNAMENTO

Ratio Mathematica, 1996
An example of hyperoperation on a circle has been exhibited, as a didactic application of an abstract algebra.
Luigi Cerritelli, Fabio Mercanti
doaj   +1 more source

On Neutrosophic Canonical Hypergroups and Neutrosophic Hyperrings [PDF]

Neutrosophic Sets and Systems, 2014
A neutrosophic hyperstructure is an algebraic structure generated by a given hyperstructure H and an indeterminacy factor I under the hyperoperation(s) of H.
A.A.A. Agboola, B. Davvaz
doaj   +2 more sources