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Maximal non valuation domains in an integral domain
Czechoslovak Mathematical Journal, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kumar, Rahul, Gaur, Atul
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Integrating time signals in frequency domain – Comparison with time domain integration
Measurement, 2014Abstract 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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Linkage of Ideals in Integral Domains
Algebras and Representation Theory, 2020Let \(R\) 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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Length Functions on Integral Domains
Proceedings of the American Mathematical Society, 1991Let R R be an integral domain and x ∈ R x \in R which is a product of irreducible elements. Let l ( x ) l(x) and L ( x ) L(x) denote respectively the inf and sup of the lengths of factorizations of
Anderson, David F., Pruis, Paula
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A non-autonomous conservative system and its reconstitution in integral domain
, 2021Mo Chen +4 more
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INTEGRAL AND COMPLETE INTEGRAL CLOSURES OF IDEALS IN INTEGRAL DOMAINS
Journal of Algebra and Its Applications, 2011This 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, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Domains, integration and ‘positive analysis’
Mathematical Structures in Computer Science, 2004This 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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