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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
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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
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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 +2 more
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Graded Weakly Strongly Quasi-Primary Ideals over Commutative Graded Rings
MathematicsIn 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 +2 more
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On Graded S-Primary Ideals [PDF]
Mathematics, 2021 Let R be a commutative graded ring with unity, S be a multiplicative subset of homogeneous elements of R and P be a graded ideal of R such that P⋂S=∅.
Azzh Saad Alshehry
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On the Depth of the Associated Graded Ring of an m-Primary Ideal of a Cohen-Macaulay Local Ring
Journal of Algebra, 1994 Let \(I\) be an \(m\)-primary ideal of the \(d\)-dimensional Cohen-Macaulay local infinite ring \(R/m\), and let \(\text{gr}_ I (R)\) denote the associated graded ring \(\oplus_{n \geq 0} I^ n/I^{n+1}\). The starting point of this work is a result of \textit{P. Valabrega} and \textit{G. Valla} [Nagoya Math. J.
GUERRIERI, ANNA, Guerrieri, A.
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Generalizations of graded S-primary ideals
Proyecciones (Antofagasta), 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. We state P is a graded weakly S-primary ideal of R if there exists s ∈ S such that for all x,y ∈ h(R), if 0 ̸= xy ∈ P, then sx ∈ P or sy ∈ Grad(P). Several properties and characteristics of
Al-Shorman, Tamem +2 more
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WSEAS Transactions on Mathematics, 2021 Let G be a group with identity e and R be a commutative G-graded ring with nonzero unity 1. Graded semi-primary and graded 1-absorbing primary ideals have been investigated and examined by several authors as generalizations of graded primary ideals. However, these three concepts are different.
Malik Bataineh, Rashid Abu-Dawwas
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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.
Khaldoun Al-Zoubi
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Modified Müller’s muscle conjunctival resection combined with levator plication in moderate to severe congenital ptosis with poor levator function [PDF]
Scientific ReportsTo present a modified surgical technique for the correction of moderate to severe congenital ptosis with poor levator function. This prospective case series included 34 eyes from 34 patients with unilateral moderate to severe congenital ptosis, defined ...
Amirhossein Aghajani +6 more
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