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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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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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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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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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Analysis of segregated boundary-domain integral equations for mixed variable-coefficient BVPs in exterior domains [PDF]
, 2011 This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2011 Birkhäuser Boston.Some direct segregated systems of boundary–domain integral equations (LBDIEs) associated with the mixed
Mikhailov, SE +5 more
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Analysis of direct segregated boundary-domain integral equations for variable-coefficient mixed bvps in exterior domains [PDF]
, 2013 This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2013 World Scientific Publishing.Direct segregated systems of boundary-domain integral equations are formulated for the mixed (
Mikhailov, SE +2 more
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Analysis of segregated boundary-domain integral equations for variable-coefficient problems with cracks [PDF]
, 2010 This is the pre-print version of the article. The official published version can be obtained from the link below - Copyright @ 2011 Wiley-BlackwellSegregated direct boundary-domain integral equation (BDIE) systems associated with mixed, Dirichlet and ...
S.E. Mikhailov +5 more
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On locally divided integral domains and CPI-overrings
International Journal of Mathematics and Mathematical Sciences, 1981 It is proved that an integral domain R is locally divided if and only if each CPI-extension of ℬ (in the sense of Boisen and Sheldon) is R-flat (equivalently, if and only if each CPI-extension of R is a localization of R).
David E. Dobbs
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On ordered domains of integrity [PDF]
Proceedings of the American Mathematical Society, 1952 In a recent paper,' T. Szele proved that a division ring D is orderable if and only if the additive and multiplicative semigroup S generated by the nonzero squares of elements of D does not contain the zero element of D. The present paper extends this result to a domain of integrity K. Let us denote by K* the set of nonzero elements of K. The domain of
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Note on Colon-Multiplication Domains
International Journal of Mathematics and Mathematical Sciences, 2010 Let R be an integral domain with quotient field L. Call a nonzero (fractional) ideal A of R a colon-multiplication ideal any ideal A, such that B(A:B)=A for every nonzero (fractional) ideal B of R.
A. Mimouni
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