Results 1 to 10 of about 131,926 (308)
SUBMAXIMAL INTEGRAL DOMAINS [PDF]
Taiwanese Journal of Mathematics, 2013 It is proved that if $D$ is a $UFD$ and $R$ is a $D$-algebra, such that $U(R)\cap D\neq U(D)$, then $R$ has a maximal subring. In particular, if $R$ is a ring which either contains a unit $x$ which is not algebraic over the prime subring of $R$, or $R$ has zero characteristic and there exists a natural number $n>1$ such that $\frac{1}{n}\in R$, then
Alborz Azarang
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Duality in Noetherian Integral Domains [PDF]
Rocky Mountain Journal of Mathematics, 1999 Let \(A\) be a torsion-free abelian group of rank one and let \(C(A)\) denote the class of torsion-free abelian groups \(M\) of finite rank such that \(M\) embeds as \(\text{End}(A)\)-submodule of \(A^n\) for some \(n\). Then the map \(M\) to \(\Hom(M,A)\) on \(C(A)\) defines a duality. This is called Warfield duality. In this paper, the author gives a
H. Pat Goeters
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Nonhomogeneous nonlinear integral equations on bounded domains
AIMS Mathematics, 2023 This paper investigates the existence of positive solutions for a nonhomogeneous nonlinear integral equation of the form $ \begin{equation} u^{p-1}(x) = \int_{\Omega} \frac{u(y)}{|x-y|^{n-\alpha}} d y+\int_{\Omega} \frac{f(y)}{|x-y|^{n-\alpha}} d y, \
Xing Yi
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q-Noor integral operator associated with starlike functions and q-conic domains
AIMS Mathematics, 2022 In this paper, we will discuss some generalized classes of analytic functions related with conic domains in the context of q-calculus. In this work, we define and explore Janowski type q-starlike functions in q -conic domains.
Syed Ghoos Ali Shah +3 more
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Norms of some operators between weighted-type spaces and weighted Lebesgue spaces
AIMS Mathematics, 2023 We calculate the norms of several concrete operators, mostly of some integral-type ones between weighted-type spaces of continuous functions on several domains.
Stevo Stević
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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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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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