Results 11 to 20 of about 4,640,503 (217)

On graded 1 -absorbing δ -primary ideals

Proyecciones (Antofagasta)
Let G be an abelian group with identity 0 and let R be a commutative graded ring of type G with nonzero unity. Let I(R) be the set of all ideals of R and let δ: I(R)⟶I(R) be a function. Then, according to (R. Abu-Dawwas, M. Refai, Graded δ-Primary Structures, Bol. Soc. Paran. Mat., 40 (2022), 1-11), δ is called a graded ideal expansion of a graded ring
Rashid Abu-Dawwas, Anass Assarrar, Jebrel M Habeb, Najib Mahdou   +3 more
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Primary ideals with good associated graded ring [PDF]

Journal of Pure and Applied Algebra, 2000
Let \((A,{\mathcal M})\) be a local Cohen-Macaulay ring of dimension \(d>0\), let \(I\) be an \({\mathcal M}\)-primary ideal of \(A\), \(J\) be the ideal generated by a maximal superficial sequence for \(I\), and let \(G\) be the associated graded ring of \(I\). For a natural number \(k\), the ideal \(I\) is said to be \(k\)-standard if \(I^n\cap J=JI^{
Rossi, M.E., M.E. Rossi, ROSSI, MARIA EVELINA   +2 more
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On Graded 2-Absorbing Quasi Primary Ideals [PDF]

, 2019
In this article, we introduce the concept of graded 2-absorbing quasi primary ideal which is a generalization of graded prime ideal. In the first part of the paper, we give many characterizations of these classes of ideals. In the second part, we study idealization of graded modules. In particular, we investigate graded radical in the idealization of a
Uregen, Rabia Nagehan, Tekir, Unsal, Shum, Kar Ping, Koc, Suat   +3 more
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$Gr$-$(2,n)$-ideals in graded commutative rings [PDF]

, 2020
summary:Let $G$ be a group with identity $e$ and let $R$ be a $G$-graded ring. In this paper, we introduce and study the concept of graded $(2,n)$-ideals of $R$. A proper graded ideal $I$ of $R$ is called a graded $(2,n)$-ideal of $R$ if whenever $rst\in
Alghueiri, Shatha, Al-Zoubi, Khaldoun, Celikel, Ece Y.   +2 more
core   +1 more source

On graded j-ideals over graded rings [PDF]

, 2023
. The goal of this article is to present the graded J-ideals of G-graded rings which are extensions of J-ideals of commutative rings. A graded ideal P of a G-graded ring R is a graded J-ideal if whenever x, y & ISIN; h(R), if xy & ISIN; P and x ...
Bataineh, Malik, Al-Shorman, Tamem, Celikel, Ece Yetkin   +2 more
core   +1 more source

Graded Weakly 1-absorbing prime ideals [PDF]

, 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 ̸= 0.
TEKİR, ÜNSAL
core   +2 more sources

DIFFERENT TYPES OF G-PRIME IDEALS ASSOCIATED TO A GRADED MODULE AND GRADED PRIMARY DECOMPOSITION IN A GRADED PRÜFER DOMAIN

International Electronic Journal of Algebra, 2020
Summary: In this paper, we introduce the notion of graded Prüfer domain as a generalization of Prüfer domain to the graded case. We generalize several types of prime ideals associated to a module over a ring to the graded case and prove that most of them coincide over a graded Prüfer domain.
ANSARI, Ajim Uddin, SHARMA, B. K., KUMAR, Shiv Datt   +2 more
openaire   +4 more sources

Cost-effectiveness of counselling, graded-exercise and usual care for chronic fatigue: evidence from a randomised trial in primary care [PDF]

, 2012
Fatigue is common and has been shown to result in high economic costs to society. The aim of this study is to compare the cost-effectiveness of two active therapies, graded-exercise (GET) and counselling (COUN) with usual care plus a self-help booklet ...
Ramon Sabes-Figuera, Mike Hurley, McCrone Paul, Ridsdale, L, Donaldson Ana, Donaldson, AN, Hurley Mike, Sabes-Figuera, R, Ana Nora Donaldson, Sabes-Figuera Ramon, Hurley, Mike, McCrone, P, Sabes-Figuera, Ramon, McCrone, Paul, King, Michael, King Michael, Michael King, Donaldson, Ana Nora, Ridsdale, Leone, Ridsdale Leone, Paul McCrone, Leone Ridsdale, Hurley, M, King, M   +23 more
core   +2 more sources

On graded primary-like submodules of graded modules over graded commutative rings

, 2021
Let G be a group with identity e. Let R be a G-graded commutative ring andM a graded R-module. In this paper, we introduce the concept of graded primary-like submodules as a new generalization of graded primary ideals and give some basic results about ...
Al-Zoubi, Khaldoun, Al-Dolat, Mohammed
core   +1 more source

Multiplicities and Volumes of Filtrations

Mathematics
In this article, we survey some aspects of the theory of multiplicities of mR-primary ideals in a local ring (R,mR) and the extension of this theory to multiplicities of graded families of mR-primary ideals.
Steven Dale Cutkosky
doaj   +1 more source