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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
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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PRIMARY ZARISKI TOPOLOGY ON THE PRIMARY SPECTRUM OF A MODULE [PDF]
Let $R$ be a commutative ring with identity and let $M$ be an $R$-module. We define the primary spectrum of $M$, denoted by $\mathcal{PS}(M)$, to be the set of all primary submodules $Q$ of $M$ such that $(\operatorname{rad}Q:M)=\sqrt{(Q:M ...
H. Bijari +2 more
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Generalizations of prime fuzzy ideals of a lattice [PDF]
As a generalization of the concepts of a fuzzy prime ideal and a prime fuzzy ideal, the concepts of a fuzzy 2-absorbingideal and a 2-absorbing fuzzy ideal of a lattice are introduced. Some results on such fuzzy ideals are proved.
Yogita Subhash Patil +1 more
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Some results on ideals via homomorphisms in BL-algebras [PDF]
In this paper, by considering the σ as a BL-homomorphism,we introduce the notion of σ-ideals in BL-algebras and obtain some new results about them. Also, while introducing the primary ideals in BL-algebras, we get some relationship between the primary ...
Fateme Alinaghian +2 more
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Graded weakly 1-absorbing primary ideals
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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Framing the Identity of an Ideal Primary School Teacher of English [PDF]
The article presents a study that aimed to examine how primary school teachers of English as a Foreign Language (EFL) framed the identity of an ideal EFL teacher.
Oleksandr Kapranov
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On 1-absorbing δ-primary ideals
Let R be a commutative ring with nonzero identity. Let 𝒥(R) be the set of all ideals of R and let δ : 𝒥 (R) → 𝒥 (R) be a function. Then δ is called an expansion function of ideals of R if whenever L, I, J are ideals of R with J ⊆ I, we have L ⊆ δ (L) and
Khalfi Abdelhaq El +3 more
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On Intuitionistic Fuzzy Primary Ideal of a Ring
The purpose of this paper is to introduce and investigate primary ideal and P-primary ideal in the intuitionistic fuzzy environment and lay down the foundation for the primary decomposition theorem in the intuitionistic fuzzy setting.
P. K. Sharma
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Creating space to talk about patients' personal goals : experiences from primary care stakeholders [PDF]
BackgroundTo address the many challenges health systems and communities face, primary care is constantly searching for new strategies to improve quality of care. One of the strategies is to focus on patients' personal goals to direct the care process. To
Dagje Boeykens +85 more
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