Results 1 to 10 of about 191,225 (285)

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

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 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

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

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

Simple semigroup graded rings [PDF]

Journal of Algebra and Its Applications, 2015
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 nonzero elements of eGe form a hypercentral group and Re has a nonzero idempotent f, then R is simple if and only if it is graded simple and the center of the corner subring f ReGe f is a field.
Nystedt, Patrik, Öinert, Johan
openaire   +2 more sources

Some properties of graded generalized 2-absorbing submodules

Demonstratio Mathematica, 2022
Let GG be an abelian group with identity ee. Let RR be a GG-graded commutative ring and MM a graded RR-module. In this paper, we will obtain some results concerning the graded generalized 2-absorbing submodules and their homogeneous components.
Alghueiri Shatha, Al-Zoubi Khaldoun
doaj   +1 more source

Graded pseudo-$H$-rings [PDF]

Banach Journal of Mathematical Analysis, 2015
Consider a pseudo-$H$-space $E$ endowed with a separately continuous biadditive associative multiplication which induces a grading on $E$ with respect to an abelian group $G$. We call such a space a graded pseudo-$H$-ring and we show that it has the form $E = cl(U + \sum_j I_j)$ with $U$ a closed subspace of $E_1$ (the summand associated to the unit ...
Calderón Martín, Antonio Jesús, Díaz Ramos, Antonio, Haralampidou, Marina, Sánchez Delgado, José María   +3 more
openaire   +5 more sources