[PDF][PDF] On commutative hyperrings

R Ameri, M Norouzi - … journal of algebraic hyperstructures and its …, 2014 - researchgate.net
on hyperrings in [5] ends with an outline of applications in chemistry and physics, analyzing
several special kinds of hyperstructures: e-hyperstructures and transposition hyperrings, with …

[图书][B] Commutative hyperalgebra

N Ramaruban - 2014 - search.proquest.com
commutative ring theory can be generalized to the setting of hyperrings. This in turn sheds
light on … From here onward, in this work, whenever the term “hypergroup”is used it only refers …

[PDF][PDF] Fundamental commutative (m, n)-rings obtained from (m, n)-hyperrings

M Norouzi, R Ameri - Caspian Journal of Mathematical …, 2019 - cjms.journals.umz.ac.ir
… An n-ary hypergroupoid (H, f) is commutative if for all σ ∈ Sn … ∗ is a commutative (m, n)-rings.
Hence, we show that α … relation on R such that R/ρ is a commutative (m, n)-rings and let ϕ : …

Quantum field theory of a hyper-complex scalar field on a commutative ring

R Cartas-Fuentevilla… - arXiv preprint arXiv …, 2017 - arxiv.org
on the potential applications of the squeezed boson states constructed on the commutative
ring, … Therefore, our results on squeezed boson states constructed on a ring may be valuable …

[PDF][PDF] The commutative quotient structure of-idempotent hyperrings

AA Zadeh, M Norouzi, I Cristea - Analele ştiinţifice ale Universităţii" …, 2020 - sciendo.com
… structure R/α* is a commutative ring. In this paper we introduce on hyperrings the relation
ξ* … Obviously, since on a hyperring two (hyper)operations are defined, there are several …

The hyperring of adele classes

A Connes, C Consani - Journal of Number Theory, 2011 - Elsevier
… encodes the full information on the ring structure on the adèles: cf. … In this paper we shall
always consider canonical hyper… Let R be a commutative ring and G ⊂ R× be a subgroup of its …

On the genus of the -maximal hypergraph of commutative rings

K Selvakumar, VC Amritha - Discrete Mathematics, Algorithms and …, 2019 - World Scientific
commutative non-local rings with identity whose k-maximal hypergraph has genus one. Finally,
we classify all finite commutative non-local rings R … hypergraph of a commutative ring R. …

Zero Devisors in Commutative Rings

R Gilmer - The American Mathematical Monthly, 1986 - Taylor & Francis
… difficulties in obtaining classifications of hypersurfaces. … G" becomes a commutative ring
(called the zero ring on G") in … Note that a finite commutative ring R whose order a is divisible …

[PDF][PDF] On prime and primary hyperideals of a multiplicative hyperring

U Dasgupta - Annals of the Alexandru Ioan Cuza University …, 2012 - archive.sciendo.com
… A C-ideal I of a commutative multiplicative hyperring R, is said to have a C-primary decomposition
if I = Q1 ∩ Q2 ∩ ... ∩ Qn for some primary C-ideals Qi of R. If no Qi contains Q1 ∩Q2 …

On the genus of the k-annihilating-ideal hypergraph of commutative rings

K Selvakumar, V Ramanathan - Indian Journal of Pure and Applied …, 2019 - Springer
… In this paper, we characterize all Artinian commutative nonlocal rings R whose AG3(… on
genus of 3-annihilating-ideal hypergraphs. We characterize all finite commutative non-local rings