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Fuzzy k-Primary Decomposition of Fuzzy k-Ideal in a Semiring [PDF]
In this paper, we establish that the Lasker–Noether theorem for a commutative ring may be generalized for a commutative semiring. We produce an example of an ideal in a Noetherian semiring which cannot be expressed as finite intersection of primary ...
S. Kar, S. Purkait, B. Davvaz
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The Ideal Primary School Teacher [PDF]
The qualities that an ideal primary school teacher has to have according to the view of 109 teacher trainees were investigated. Data were collected from an open-ended question in which the participants' views about the ideal primary school teacher and the reasoning behind those views were explored.
Hülya çermik, Çermik, Hülya
exaly +7 more sources
Some properties of 2-absorbing primary ideals in lattices [PDF]
We introduce the concepts of a primary and a 2-absorbing primary ideal and the radical of an ideal in a lattice. We study some properties of these ideals. A characterization for the radical of an ideal to be a primary ideal is given.
Meenakshi P. Wasadikar +1 more
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ON PRIMARY IDEALS OF POINTFREE FUNCTION RINGS [PDF]
We study primary ideals of the ring $mathcal{R}L$ of real-valued continuous functions on a completely regular frame $L$. We observe that prime ideals and primary ideals coincide in a $P$-frame.
M. Abedi
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Primary Ideals and Their Differential Equations [PDF]
An ideal in a polynomial ring encodes a system of linear partial differential equations with constant coefficients. Primary decomposition organizes the solutions to the PDE. This paper develops a novel structure theory for primary ideals in a polynomial ring.
Yairon Cid-Ruiz +2 more
openaire +4 more sources
On differentially prime ideals of Noetherian semirings
The paper is devoted to the investigation of the notion of a differentially prime ideal of a differential commutative semiring (i. e. a semiring equipped with a derivation), and its interrelation with the notions of a quasi-prime ideal and a primary ...
І. О. Мельник
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Fuzzy weakly irreducible ideals of a ring [PDF]
In this paper, we introduce the concept of a fuzzy weakly irreducible ideal of a commutative ring R with identity.This concept is a generalization of the concept of a fuzzy strongly irreducible ideal.
Jyoti A. Khubchandani +1 more
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Associated Prime Ideal and Minimal Prime Ideal of an Ideal of an L-Subring
In this paper, a systematic theory for the ideals of an L-ring L(μ,R) has been developed. Earlier the authors have introduced the concepts of prime ideals, semiprime ideals, primary ideals, and radical of an ideal in an L-ring.
Anand Swaroop Prajapati +2 more
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n-absorbing I-primary ideals in commutative rings
We define a new generalization of n-absorbing ideals in commutative rings called n-absorbing I-primary ideals. We investigate some characterizations and properties of such new generalization. If P is an n-absorbing I-primary ideal of R and √IP=I√P, then
Sarbast A. Anjuman, Ismael Akray
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On Weakly 1-Absorbing Primary Ideals of Commutative Semirings
Let $R$ be a commutative semiring with $ 1 \neq0$. In this paper, we study the concept of weakly 1-absorbing primary ideal which is a generalization of 1-absorbing ideal over commutative semirings . A proper ideal $I$ of a semiring $R$ is called a weakly
Ibaa Muraa, Mohammad Saleh
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