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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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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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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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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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Generalizations of graded S-primary ideals [PDF]
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.
Alaa Melhem +2 more
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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 +3 more
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Regularity stabilization for the powers of graded $\operatorname {\frak {M}}$-primary ideals [PDF]
Proceedings of the American Mathematical Society, 2015 This Note provides first a generalization of the stabilization result of Eisenbud and Ulrich for the regularity of powers of a m-primary ideal to the case of ideals that are not generated in a single degree.
Marc Chardin
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A phase II study of Bruton’s tyrosine kinase inhibition for the prevention of anaphylaxis
The Journal of Clinical Investigation, 2023 BACKGROUND IgE-mediated anaphylaxis is a potentially fatal systemic allergic reaction for which there are no currently FDA-approved preventative therapies.
Ragha V. Suresh +6 more
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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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