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A Generalized Helfrich Free Energy Framework for Multicomponent Fluid Membranes. [PDF]

Membranes (Basel)
Wu H, Ou-Yang ZC.
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Integrally closed integral domains

Integrally closed integral domains
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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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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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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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Length Functions on Integral Domains

Proceedings of the American Mathematical Society, 1991
Let 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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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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