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The w-integral closure of integral domains
Journal of Algebra, 2006 Let \(D\) be an integral domain with quotient field qf\((D)=K\). Recall that an element \(x \in K\) is called \(w\)-integral [respectively: pseudo-integral (or \(v\)-integral)] on \(D\) if \( xI^w \subseteq I^w\) [respectively: \(xI^v \subseteq I^v\)] for some nonzero finitely generated ideal \(I\) of \(D\). The authors denote by \(D^w\) [respectively:
Gyu Whan Chang, Muhammad Zafrullah
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A Nyström Method for 2D Linear Fredholm Integral Equations on Curvilinear Domains
Mathematics, 2023 This paper is devoted to the numerical treatment of two-dimensional Fredholm integral equations, defined on general curvilinear domains of the plane. A Nyström method, based on a suitable Gauss-like cubature formula, recently proposed in the literature ...
Anna Lucia Laguardia, Maria Grazia Russo
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ON HARDY TYPE SPACES IN SOME DOMAINS IN Cn AND RELATED PROBLEMS [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2019 We discuss some new problems in several new mixed norm Hardy type spaces in products of bounded pseudoconvex domains with smooth boundary in Cn and then prove some new sharp decomposition theorems for multifunctional Hardy type spaces in the unit ball ...
R. F. Shamoyan, V.V. Loseva
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Fractal and Fractional, 2022 In the recent era of research, the field of integral inequalities has earned more recognition due to its wide applications in diverse domains. The researchers have widely studied the integral inequalities by utilizing different approaches.
Yabin Shao +5 more
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Mathematica Bohemica, 2023 Let $D$ be an integral domain with the quotient field $K$, $X$ an indeterminate over $K$ and $x$ an element of $D$. The Bhargava ring over $D$ at $x$ is defined to be $\mathbb{B}_x(D):=\{f\in\nobreak K[X] \text{for all} a\in D, f(xX+a)\in D[X]\}$.
Mohamed Mahmoud Chems-Eddin +2 more
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Integrally Closed Subrings of an Integral Domain [PDF]
Transactions of the American Mathematical Society, 1971 Let D be an integral domain with identity having quotient field K. This paper gives necessary and sufficient conditions on D in order that each integrally closed subring of D should belong to some subclass of the class of integrally closed domains; some of the subclasses considered are the completely integrally closed domains, Prufer domains, and ...
Gilmer, R., Mott, J.
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Integral Domains in Which Every Nonzero w-Flat Ideal Is w-Invertible
Mathematics, 2020 Let D be an integral domain and w be the so-called w-operation on D. We define D to be a w-FF domain if every w-flat w-ideal of D is of w-finite type. This paper presents some properties of w-FF domains and related domains.
Hwankoo Kim, Jung Wook Lim
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Mathematical Aspects of Krätzel Integral and Krätzel Transform
Mathematics, 2020 A real scalar variable integral is known in the literature by different names in different disciplines. It is basically a Bessel integral called specifically Krätzel integral. An integral transform with this Krätzel function as kernel is known as Krätzel
Arak M. Mathai, Hans J. Haubold
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Dp-Minimal integral domains [PDF]
Israel Journal of Mathematics, 2021 It is shown that every dp-minimal integral domain $R$ is a local ring and for every non-maximal prime ideal $\mathfrak p $ of $R$, the localization $R_{\mathfrak p }$ is a valuation ring and $\mathfrak{p}R_{\mathfrak{p}}=\mathfrak{p}$. Furthermore, a dp-minimal integral domain is a valuation ring if and only if its residue field is infinite or its ...
D'Elbée, Christian, Halevi, Yatir
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Reconstruction of Planar Domains from Partial Integral Measurements [PDF]
, 2011 We consider the problem of reconstruction of planar domains from their moments. Specifically, we consider domains with boundary which can be represented by a union of a finite number of pieces whose graphs are solutions of a linear differential equation ...
Batenkov, Dmitry +2 more
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