Results 21 to 30 of about 2,642,513 (283)
Almost δ-primary ideals in a commutative ring [PDF]
Journal of HyperstructuresIn this paper, our research sheds new light on generalized ideals, significantly advancing the state of knowledge in ring theory. We introduce an almost δ-primary ideal which unifies an almost prime ideal and an almost primary ideal.
Jaya Nehete, Yogita Patil
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Zariski topology on the spectrum of fuzzy classical primary submodules
Applied General Topology, 2022 Let R be a commutative ring with identity and M a unitary R-module. The fuzzy classical primary spectrum F cp.spec(M) is the collection of all fuzzy classical primary submodules A of M, the recent generalization of fuzzy primary ideals and fuzzy ...
Phakakorn Panpho, Pairote Yiarayong
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Algorithms for zero-dimensional ideals using linear recurrent sequences [PDF]
, 2017 Inspired by Faug\`ere and Mou's sparse FGLM algorithm, we show how using linear recurrent multi-dimensional sequences can allow one to perform operations such as the primary decomposition of an ideal, by computing the annihilator of one or several such ...
A Bostan +14 more
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On (1,2)-absorbing primary ideals and uniformly primary ideals with order ≤ 2
Analele Universitatii "Ovidius" Constanta - Seria Matematica, 2023 Abstract This paper introduces a subset of the set of 1-absorbing primary ideals introduced in [3]. An ideal I of a ring R is (1,2)-absorbing primary if, whenever non-unit elements α, β, γ ∈ R with αβγ ∈ I,then αβ ∈ I or γ 2 ∈ I. The introduced notion is related to uniformly primary ideals introduced in [5].
Alhazmy Khaled +3 more
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On ideals of minors of matrices with indeterminate entries [PDF]
, 2005 This paper has two aims. The first is to study ideals of minors of matrices whose entries are among the variables of a polynomial ring. Specifically, we describe matrices whose ideals of minors of a given size are prime.
Katzman, M.
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Primary Ideals and Their Differential Equations [PDF]
Foundations 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.
Cid Ruiz, Yairon +2 more
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Extended Annihilating-Ideal Graph of a Commutative Ring
Discussiones Mathematicae - General Algebra and Applications, 2022 Let R be a commutative ring with identity. An ideal I of a ring R is called an annihilating-ideal if there exists a nonzero ideal J of R such that IJ = (0) and we use the notation 𝔸(R) for the set of all annihilating-ideals of R.
Nithya S., Elavarasi G.
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A note On 2-prime ideals [PDF]
Journal of Mahani Mathematical ResearchLet $R$ be a commutative ring with identity. In this paper, we study 2-prime ideals of a Dedekind domain and a Pr\"{u}fer domain. We prove that a nonzero ideal $I$ of a Dedekind domain $R$ is 2-prime if and only if $I=P^{\alpha}$, for some maximal ideal $
Somayeh Hadjirezaei, Vajihe Sharifi
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1-absorbing primary submodules
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 Let R be a commutative ring with non-zero identity and M be a unitary R-module. The goal of this paper is to extend the concept of 1-absorbing primary ideals to 1-absorbing primary submodules. A proper submodule N of M is said to be a 1-absorbing primary
Celikel Ece Yetkin
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Fuzzy k-Primary Decomposition of Fuzzy k-Ideal in a Semiring
Fuzzy 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
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