Results 1 to 10 of about 779 (169)

2-Prime Hyperideals of Multiplicative Hyperrings

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
Multiplicative hyperrings are an important class of algebraic hyperstructures which generalize rings further to allow multiple output values for the multiplication operation. Let R be a commutative multiplicative hyperring.
Mahdi Anbarloei
core   +3 more sources

CLASSIFICATIONS OF UNITARY KRASNER HYPERRINGS OF SMALL ORDER [PDF]

Facta Universitatis Series Mathematics and Informatics
In this article, we investigate the distributability of the binary operation of monoids with zero compared to the hyperoperation of canonical hypergroups of order 2 and 3with the help of analytical and algebraic methods and without using computer ...
Hamidizadeh, Kazem, Mirvakili, Saeed, Manaviyat, Rauofeh   +2 more
core   +2 more sources

On S-2-Prime Hyperideals of Commutative Hyperrings

Mathematics
This paper introduces the notion of S-2-prime hyperideals, providing a unifying generalization of 2-prime and S-prime hyperideals in multiplicative hyperrings.
Elif Tüysüz, Gürsel Yeşilot, Serkan Onar, Sanem Yavuz   +3 more
doaj   +2 more sources

On (fuzzy) isomorphism theorems of Γ-hyperrings

Computers and Mathematics With Applications, 2010
In this paper, we first derive three isomorphism theorems and a Jordan–Holder theorem of Γ-hyperrings.
Xueling Ma, Jianming Zhan, V Leoreanu-Fotea   +2 more
exaly   +2 more sources

M-POLYSYMMETRICAL HYPERRINGS

Ratio Mathematica, 1997
In this paper a special case of canonical polysymmetrical hyperrings, the M-Polysymmetrical hyperrings, are studied and investigated in detail. Certain methods of their construction from rings are presented and a new class of hyperstructures, the M ...
John Mittas, Constantine N. Yatras
doaj   +1 more source

Applications of the α⁎-relation to Krasner hyperrings

Journal of Algebra, 2012
This paper deals with a special type of hyperrings called Krasner hyperring. The main tool is the studding of the α⁎-relation. The α⁎-relation was introduced by Davvaz and Vougiouklis. Indeed, we use the α⁎-relation in a given Krasner hyperring.
S Mirvakili, Bijan Davvaz
exaly   +2 more sources

Phase chimera states on nonlocal hyperrings. [PDF]

Physical Review E, 2023
Chimera states are dynamical states where regions of synchronous trajectories coexist with incoherent ones. A significant amount of research has been devoted to studying chimera states in systems of identical oscillators, nonlocally coupled through ...
Riccardo Muolo, Thierry Njougouo, L. V. Gambuzza, T. Carletti, M. Frasca   +4 more
semanticscholar   +1 more source

ON STRONGLY ASSOCIATIVE HYPERRINGS [PDF]

Journal of Algebraic Systems, 2019
This paper generalizes the idea of strongly associative hyperoperation introduced in [7]  to the class of hyperrings. We introduce and investigate hyperrings of type 1, type 2 and SDIS.
Fatemeh Arabpur, Morteza Jafarpour
doaj   +1 more source

A GENERALIZATION OF PRIME HYPERIDEALS IN KRASNER HYPERRINGS [PDF]

Journal of Algebraic Systems, 2020
In this paper, ‎we extend the notion of 2-absorbing ideal on rings to Krasner hyperrings. In fact, we give a characterization of new generalization of prime hyperideals in Krasner hyperrings by introducing 2-absorbing hyperideals‎.
L. Kamali Ardekani, B. Davvaz
doaj   +1 more source

Hyperideals of (Finite) General Hyperrings [PDF]

Mathematics Interdisciplinary Research, 2021
A general hyperring is an algebraic hypercompositional system (R,+,·) with two hyperoperations ”+" and ” · ”, such that for all x,y ∈ R, x + y and x · y are non-empty subsets of R, and R satisfies the axioms similar to a ring.
Reza Ameri, Mohammad Hamidi, Hoda Mohammadi   +2 more
doaj   +1 more source