Results 1 to 10 of about 698,102 (166)

Fuzzy k-Primary Decomposition of Fuzzy k-Ideal in a Semiring

open access: yesFuzzy Information and Engineering, 2015
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
doaj   +3 more sources

The Ideal Primary School Teacher

open access: yesSocial Behavior and Personality, 2011
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.
exaly   +6 more sources

Primary Ideals and Their Differential Equations [PDF]

open access: yesFoundations of Computational Mathematics, 2021
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 PRIMARY IDEALS OF POINTFREE FUNCTION RINGS [PDF]

open access: yesJournal of Algebraic Systems, 2020
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
doaj   +1 more source

On differentially prime ideals of Noetherian semirings

open access: yesНауковий вісник Ужгородського університету. Серія: Математика і інформатика, 2022
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
doaj   +1 more source

Fuzzy weakly irreducible ideals of a ring [PDF]

open access: yesJournal of Hyperstructures, 2021
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
doaj   +1 more source

n-absorbing I-primary ideals in commutative rings

open access: yesTikrit Journal of Pure Science, 2023
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
doaj   +1 more source

Associated Prime Ideal and Minimal Prime Ideal of an Ideal of an L-Subring

open access: yesFuzzy Information and Engineering, 2023
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
doaj   +1 more source

On Weakly 1-Absorbing Primary Ideals of Commutative Semirings

open access: yesCommunications in Advanced Mathematical Sciences, 2022
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
doaj   +1 more source

Some properties of 2-absorbing primary ideals in lattices

open access: yesAKCE International Journal of Graphs and Combinatorics, 2019
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
doaj   +2 more sources

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