Results 51 to 60 of about 186 (132)

Enumeration of Rosenberg-type hypercompositional structures defined by binary relations

, 2012
Every binary relation ρ on a set H,(card(H)>1) can define a hypercomposition and thus endow H with a hypercompositional structure. In this paper, binary relations are represented by Boolean matrices.
Massouros, Ch.G., Tsitouras, Ch.
core   +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

Algorithms for Finding Specific Elements in Algebraic‎ ‎Hyperstructures‎ ‎with‎ ‎One Hyperoperation [PDF]

Mathematics Interdisciplinary Research
‎In this paper‎, ‎first‎, ‎we show how to define an algebraic hyperstructure by using algorithms‎. ‎Then‎, ‎we present algorithms that calculate specific elements in algebraic hyperstructures‎. ‎These specific elements are‎: ‎scalars‎, ‎scalar identities‎
Aboutorab Pourhaghani, Seid Mohammad Anvariyeh, Bijan Davvaz   +2 more
doaj   +1 more source

Hv-groups defined on the same set

, 1996
If a hyperoperation is weak associative then every greater hyperoperation, defined on the same set, is also weak associative. Using this property, the set of all Hv-groups with a scalar unit, defined on a set with three elements is ...
Vougiouklis, Thomas
core   +1 more source

Algorithms for determining the type of algebraic hyperstructures and morphisms [PDF]

Mathematics and Computational Sciences
In this paper, we present some primary methods to define a hypergroupoid by algorithm. Then, we present algorithms for checking if it is closed under ο, associativity, weak associativity, commutativity, weak commutativity, establishing the reproduction ...
Aboutorab Pourhaghani, Seid Mohammad Anvariyeh, Bijan Davvaz   +2 more
doaj   +1 more source

Hyperoperations in exponential fields

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

ON (m, n)-ARY P-Hv-MODULES AND THEIR ISOMORPHISM THEOREMS [PDF]

Journal of Algebraic Systems
After introducing the definition of hypergroups by Marty, the study of hyperstructures and its generalization to $(m,n)$-ary hyperstructures has been of great importance. In this paper, we construct the structure of $(m,n)$-ary $H_v$-modules over $(m,n)$-
M. Al Tahan, Bijan Davvaz
doaj   +1 more source

Composition hyperrings

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013
In this paper we introduce the notion of composition hyperring. We show that the composition structure of a composition hyperring is determined by a class of its strong multiendomorphisms.
Cristea Irina, Jančić-Rašović Sanja
doaj   +1 more source

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.
Bijan Davvaz
doaj   +1 more source

Abelization of join spaces of affine transformations of ordered field with proximity

Applied General Topology, 2005
Using groups of affine transformations of linearly ordered fields a certain construction of non-commutative join hypergroups is presented based on the criterion of reproducibility of semi-hypergroups which are determined by ordered semigroups. The aim of
Sárka Hosková
doaj   +1 more source