Results 271 to 280 of about 142,767 (307)

Integrating time signals in frequency domain – Comparison with time domain integration

Measurement, 2014
Abstract Integrating sampled time signals is a common task in signal processing. In this paper we investigate the performance of two straightforward integration methods: (i) integration in the frequency domain by a discrete Fourier transform (DFT), division by j ω followed by inverse DFT (IDFT) back to the time domain, and (ii) a method ...
Brandt, Anders, Brincker, Rune
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Maximal non valuation domains in an integral domain

Czechoslovak Mathematical Journal, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kumar, Rahul, Gaur, Atul
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Linkage of Ideals in Integral Domains

Algebras and Representation Theory, 2020
Let \(R\) be a commutative ring with identity. Recall the following definitions: (1) Let \(I,J\) and \(A\) be ideals of \(R\). Then \(I\) and \(J\) are linked over \(A\) if \(A\subseteq I\cap J\), \(I=(A:J)\) and \(J=(A:I)\). (2) \(R\) has the linkage property if any two distinct nonzero ideals of \(R\) are linked.
S. Kabbaj, A. Mimouni
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Domains, integration and ‘positive analysis’

Mathematical Structures in Computer Science, 2004
This article surveys a variety of approaches to integration theory that have arisen in the context of continuous domain theory. The presentation is set in a broader context of ‘positive’ analysis, analysis where order-theoretic notions and notions of positivity play a key role.
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On a Class of Archimedean Integral Domains

Canadian Journal of Mathematics, 1976
Our starting point is an observation in elementary number theory [10, Exercise 26, p. 17]: if a and b are positive integers such that each number in the sequence a, b2, a3, b4, … divides the next, then a = b. Its proof depends only on Z being a unique factorization domain (UFD) whose units are 1, —1. Accordingly, we abstract and say that a (commutative
Beauregard, Raymond A., Dobbs, David E.
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Length Functions on Integral Domains

Proceedings of the American Mathematical Society, 1991
Let R R be an integral domain and
Anderson, David F., Pruis, Paula
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INTEGRAL AND COMPLETE INTEGRAL CLOSURES OF IDEALS IN INTEGRAL DOMAINS

Journal of Algebra and Its Applications, 2011
This paper studies the integral and complete integral closures of an ideal in an integral domain. By definition, the integral closure of an ideal I of a domain R is the ideal given by I′ ≔ {x ∈ R | x satisfies an equation of the form xr + a1xr-1 + ⋯ + ar = 0, where ai ∈ Ii for each i ∈ {1, …, r}}, and the complete integral closure of I is the ideal Ī ≔
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Integral domains with almost integral proper overrings

Archiv der Mathematik, 2001
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Factoring Ideals in Integral Domains

2013
A classical generalization of the Fundamental Theorem of Arithmetic states that an integral domain is a principal ideal domain if and only if each of its proper ideals can be factored as a finite product of principal prime ideals. If the “principal” restriction is removed, one has a characterization of (nontrivial) Dedekind domains. The purpose of this
FONTANA, Marco, Houston, Evan, Lucas, Thomas   +2 more
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