Results 61 to 70 of about 358 (147)

C-Γ-hyperideal Theory in Ordered Γ-semihypergroups

open access: yesJournal of Mathematical and Fundamental Sciences, 2017
Our purpose in this article is to characterize the properties of C-Γ-hyperideals in ordered Γ-semihypergroups. As an application of the results of this paper, the corresponding results of ordered semihypergroups can also be obtained by moderate ...
Saber Omidi , Bijan Davvaz
doaj   +1 more source

Atomistic subsemirings of the lattice of subspaces of an algebra

open access: yes, 2012
Let A be an associative algebra with identity over a field k. An atomistic subsemiring R of the lattice of subspaces of A, endowed with the natural product, is a subsemiring which is a closed atomistic sublattice.
Corsini P.   +6 more
core   +1 more source

Partially ordered left almost semihypergroups

open access: yesJournal of the Egyptian Mathematical Society, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yaqoob, Naveed, Gulistan, Muhammad
openaire   +2 more sources

Ordered Left Almost ⋇‐Semihypergroups Based on Fuzzy Sets

open access: yesJournal of Mathematics, Volume 2024, Issue 1, 2024.
The concept of an involution or anti‐involution is a self‐inverse linear mapping that plays a prominent role in the theory of algebraic structures, particularly rings, hyperrings, ordered semigroups, and ordered semihypergroups. Nowadays, the study of involutions in ordered hyperstructures is a particular area of research in the field of hyperstructure
Nabilah Abughazalah   +2 more
wiley   +1 more source

On Intra-Regular Semihypergroups Through Intuitionistic Fuzzy Sets [PDF]

open access: yes, 2013
The notion of intuitionistic fuzzy sets was introduced by Atanassov as ageneralization of the notion of fuzzy sets. In this paper, using Atanassov idea, wegive some properties of intuitionistic fuzzy hyperideals and intuitionistic fuzzy bihyperidealsin a
Jani DINE, Kostaq HILA
core  

The algebraic hyperstructure of elementary particles in physical theory

open access: yes, 2010
Algebraic hyperstructures represent a natural extension of classical algebraic structures. In a classical algebraic structure, the composition of two elements is an element, while in an algebraic hyperstructure, the composition of two elements is a set ...
A Kiseleva   +8 more
core   +1 more source

Some Algebraic Classification of Semiregular Hypermodules in Connection to the Radical

open access: yesJournal 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   +2 more
wiley   +1 more source

On Pure Hyperideals In Ternary Semihypergroups [PDF]

open access: yes, 2013
This paper deals with a class of algebraic hyperstructures called ternarysemihypergroups, which are a generalization of ternary semigroups. In this paper weintroduce some special classes of hyperideals in ternary semihypergroups.
Kostaq HILA, Krisanthi NAKA
core  

A Note on Hypervector Spaces

open access: yes, 2011
The main aim of this paper is to generalize the concept of vector space by the hyperstructure. We generalize some definitions such as hypersubspaces, linear combination, Hamel basis, linearly dependence and linearly independence.
Roy, Sanjay, Samanta, T. K.
core   +1 more source

A family of 0-simple semihypergroups related to sequence A000070 [PDF]

open access: yes, 2016
For any integer n 65 2, let R_0(n + 1) be the class of 0-semihypergroups H of size n + 1 such that {y} 86 xy 86 {0, y} for all x, y 08 H - {0}, all subsemihypergroups K 86 H are 0-simple and, when |K| 65 3, the fundamental relation \u3b2_K is not ...
De Salvo, Mario   +3 more
core  

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