Results 31 to 40 of about 2,642,513 (283)
Primary decomposition of the ideal of polynomials whose fixed divisor is divisible by a prime power [PDF]
, 2010 We characterize the fixed divisor of a polynomial $f(X)$ in $\mathbb{Z}[X]$ by looking at the contraction of the powers of the maximal ideals of the overring ${\rm Int}(\mathbb{Z})$ containing $f(X)$. Given a prime $p$ and a positive integer $n$, we also
Giulio Peruginelli +14 more
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Journal of Pure and Applied Algebra, 2008 Let \(R\) be a commutative ring with identity. This paper introduces the notion of a uniformly primary ideal. A proper ideal \(Q\) of \(R\) is uniformly primary if there exists a positive integer \(n\) such that whenever \(r,s\in R\) satisfy \(rs\in Q\), then \(s^{n}\in Q\). The smallest such \(n\) is denoted by \(\text{ord}(Q)\).
Cox, Jonathan A., Hetzel, Andrew J.
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Semi r-ideals of commutative rings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 For commutative rings with identity, we introduce and study the concept of semi r-ideals which is a kind of generalization of both r-ideals and semiprime ideals.
Khashan Hani A., Celikel Ece Yetkin
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Frontiers in Psychology, 2022 In 2017, Chile enacted new legislation allowing access to legal abortion on three grounds, including rape. This article summarizes a qualitative, exploratory study that examined the role of primary healthcare services in the treatment of rape survivors ...
Lidia C. Casas +5 more
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Powers of ideals and the cohomology of stalks and fibers of morphisms [PDF]
, 2012 We first provide here a very short proof of a refinement of a theorem of Kodiyalam and Cutkosky, Herzog and Trung on the regularity of powers of ideals.
Chardin, Marc
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Pure Mathematical Sciences, 2013 Summary: Let \(R\) be a commutative ring with identity. In this paper we define the notion of almost primary ideal. An ideal of a ring \(R\) is said to be an almost primary ideal if for \(a,b\in R\) with \(ab\in I\setminus I^2\) then \(a\in I\) or \(b^n\in I\) for some \(n \in N\). We prove that in Noetherian domains almost primary ideals are primary.
Khaksari, A., Jafari, A., Moghimi, Gh.
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Frontiers in Public Health, 2022 Aims: Little information exists on the associations of cardiovascular health, a new metric proposed by the American Heart Association, and executive function, particularly in children.
Zhaohuan Gui +5 more
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An algorithm for primary decomposition in polynomial rings over the integers
, 2011 We present an algorithm to compute a primary decomposition of an ideal in a polynomial ring over the integers. For this purpose we use algorithms for primary decomposition in polynomial rings over the rationals resp.
Pfister, Gerhard +2 more
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Generalizations of graded S-primary ideals
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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Some Results On Normal Homogeneous Ideals
, 2002 In this article we investigate when a homogeneous ideal in a graded ring is normal, that is, when all positive powers of the ideal are integrally closed.
Reid, Les +2 more
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