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Graded weakly 1-absorbing primary ideals

Demonstratio Mathematica, 2023
Let GG be a group and RR be a GG-graded commutative ring with nonzero unity 1. In this article, we introduce the concept of graded weakly 1-absorbing primary ideals which is a generalization of graded 1-absorbing primary ideal.
Bataineh Malik, Abu-Dawwas Rashid
doaj   +6 more sources

Some notes on graded weakly 1-absorbing primary ideals

Demonstratio Mathematica, 2023
A proper graded ideal PP of a commutative graded ring RR is called graded weakly 1-absorbing primary if whenever x,y,zx,y,z are nonunit homogeneous elements of RR with 0≠xyz∈P0\ne xyz\in P, then either xy∈Pxy\in P or zz is in the graded radical of PP. In
Alshehry Azzh Saad, Abu-Dawwas Rashid, Al-Rashdan Majd   +2 more
doaj   +5 more sources

Graded Weakly Strongly Quasi-Primary Ideals over Commutative Graded Rings

Mathematics
In this article, we introduce and examine the concept of graded weakly strongly quasi primary ideals. A proper graded ideal P of R is said to be a graded weakly strongly quasi primary (shortly, Gwsq-primary) ideal if whenever 0≠xy∈P, for some homogeneous
Azzh Saad Alshehry, Rashid Abu-Dawwas, Basel Hawary   +2 more
doaj   +5 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   +4 more sources

ON GRADED 2-ABSORBING PRIMARY AND GRADED WEAKLY 2-ABSORBING PRIMARY IDEALS

Journal of the Korean Mathematical Society, 2017
Summary: Let \(G\) be a group with identity \(e\) and let \(R\) be a \(G\)-graded ring. In this paper, we introduce and study graded 2-absorbing primary and graded weakly 2-absorbing primary ideals of a graded ring which are different from 2-absorbing primary and weakly 2-absorbing primary ideals.
Al-Zoubi, Khaldoun, Sharafat, Nisreen
openaire   +5 more sources

On graded WAG2-absorbing submodule

Математичні Студії, 2022
Let $G$ be a group with identity $e$. Let $R$ be a $G$-graded commutative ring and $M$ a graded $R$-module. In this paper, we introduce the concept of graded $WAG2$-absorbing submodule. A number of results concerning of these classes of graded submodules
K. Al-Zoubi, Mariam Al-Azaizeh
doaj   +1 more source

$Gr$-$(2,n)$-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

Generalizations of graded S-primary ideals

, 2022
The goal of this article is to present the graded weakly S-primary ideals and graded g-weakly S-primary ideals which are extensions of graded weakly primary ideals.
Al-shorman, Tamem, Abu-dawwas, Rashid, Bataineh, Malik   +2 more
core   +1 more source

Does it take an expert to lead experts?: professionals versus managers in universities [PDF]

This is an empirical study of leaders and how they affect organizational performance. Its context is the research university as a knowledge intensive organization. It appears to be the first of its kind.
Goodall, Amanda
core  

NATON robotic-assisted unicompartmental knee arthroplasty achieves superior radiological alignment and comparable one-year functional outcomes to conventional surgery. [PDF]

Sci Rep
Li Y, Wu J, He K, Sun GJ, Yin Y, Peng X.
europepmc   +1 more source