Results 1 to 10 of about 3,213,825 (224)

When Are Graded Rings Graded S-Noetherian Rings [PDF]

Mathematics, 2020
Let Γ be a commutative monoid, R=⨁α∈ΓRα a Γ-graded ring and S a multiplicative subset of R0. We define R to be a graded S-Noetherian ring if every homogeneous ideal of R is S-finite. In this paper, we characterize when the ring R is a graded S-Noetherian
Dong Kyu Kim, Jung Wook Lim
doaj   +2 more sources

Simple Semigroup Graded Rings [PDF]

Journal of Algebra and Its Applications, 2014
We show that if $R$ is a, not necessarily unital, ring graded by a semigroup $G$ equipped with an idempotent $e$ such that $G$ is cancellative at $e$, the non-zero elements of $eGe$ form a hypercentral group and $R_e$ has a non-zero idempotent $f$, then $
Nystedt, Patrik, Öinert, Johan
core   +2 more sources

EM− Graded Rings

Journal of Mathematics
The main goal of this article is to introduce the concept of EM−G− graded rings. This concept is an extension of the notion of EM− rings. Let G be a group, and R be a G− graded commutative ring.
Tariq Alraqad, Hicham Saber, Rashid Abu-Dawwas   +2 more
doaj   +3 more sources

Graded near-rings

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this paper, we consider graded near-rings over a monoid G as generalizations of graded rings over groups, and study some of their basic properties.
Dumitru Mariana, Năstăsescu Laura, Toader Bogdan   +2 more
doaj   +2 more sources

Supercontinuum generation with extended bandwidth and improved purity in graded-index ring-core fiber [PDF]

Scientific Reports
In this paper, we numerically investigate the impact of shape factor (k) on the mode properties of graded-index ring-core fiber (GIRCF). A 50 mol% Ge-doped GIRCF with shape factor of 2 is devised to generate supercontinuum (SC) carrying orbital angular ...
Qinru Peng, Jian Yang, Yiwen Zhang, Yuanpeng Liu, Yuxi Fang, Wenpu Geng, Zhongqi Pan, Fei Yang, Yang Yue   +8 more
doaj   +2 more sources

On the associated graded ring of semigroup algebras [PDF]

Communications in Algebra, 2022
In this paper, we give a necessary and sufficient condition for the Cohen-Macaulayness of the associated graded ring of a simplicial affine semigroup using Gröbner basis.
Joydip Saha, I. Sengupta, Pranjal Srivastava   +2 more
semanticscholar   +1 more source

Intersection graphs of graded ideals of graded rings

AIMS Mathematics, 2021
In this article, we introduce and study the intersection graph of graded ideals of a graded ring. The intersection graph of G−graded ideals of a graded ring R, denoted by GrG(R), is undirected simple graph defined on the set of nontrivial graded left ...
Tariq Alraqad, Hicham Saber, Rashid Abu-Dawwas   +2 more
doaj   +1 more source

On Graded 2-Prime Ideals

Mathematics, 2021
The purpose of this paper is to introduce the concept of graded 2-prime ideals as a new generalization of graded prime ideals. We show that graded 2-prime ideals and graded semi-prime ideals are different.
Malik Bataineh, Rashid Abu-Dawwas
doaj   +1 more source

Graded weakly 1-absorbing prime ideals

Cubo, 2022
In this paper, we introduce and study graded weakly 1-absorbing prime ideals in graded commutative rings. Let $G$ be a group and $R$ be a $G$-graded commutative ring with a nonzero identity $1\neq0$.
Ünsal Tekir, Suat Koç, Rashid Abu-Dawwas, Eda Yıldız   +3 more
doaj   +1 more source

Brown-McCoy Radical in Restricted Graded Version

JTAM (Jurnal Teori dan Aplikasi Matematika), 2022
Some conjectures related to the radical theory of rings are still open. Hence, the research on the radical theory of rings is still being investigated by some prominent authors.
Puguh Wahyu Prasetyo
doaj   +1 more source