Results 1 to 10 of about 4,070,185 (350)
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
openalex +4 more sources
On the Graph of Divisibility of an Integral Domain [PDF]
Canadian Mathematical Bulletin, 2013 It is well known that the factorization properties of a domain are reflected in the structure of its group of divisibility. The main theme of this paper is to introduce a topological/graph-theoretic point of view to the current understanding of ...
Jason G. Boynton, J. Coykendall
semanticscholar +4 more sources
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 ...
R. Gilmer, J. Mott
semanticscholar +3 more sources
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
openalex +3 more sources
New Integral Transform: Shehu Transform a Generalization of Sumudu and Laplace Transform for Solving Differential Equations [PDF]
International Journal of Analysis and Applications, 2019 In this paper, we introduce a Laplace-type integral transform called the Shehu transform which is a generalization of the Laplace and the Sumudu integral transforms for solving differential equations in the time domain. The proposed integral transform is
Shehu Maitama, Weidong Zhao
doaj +4 more sources
Solution of a two-dimensional parabolic model problem in a degenerate angular domain [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 In this paper, the boundary value problem of heat conduction in a domain was considered, boundary of which changes with time, as well as there is no the problem solution domain at the initial time, that is, it degenerates into a point.
M.I. Ramazanov +2 more
doaj +2 more sources
Non-compact subsets of the Zariski space of an integral domain [PDF]
, 2017 Let $V$ be a minimal valuation overring of an integral domain $D$ and let $\mathrm{Zar}(D)$ be the Zariski space of the valuation overrings of $D$. Starting from a result in the theory of semistar operations, we prove a criterion under which the set ...
D. Spirito
semanticscholar +1 more source
Mechanical Engineering Journal, 2022 In this paper, a domain integral method to evaluate the J-integral along with a singular patch method for three-dimensional linear elastic fracture mechanics analyses using Isogeometric analysis (IGA) are presented.
Omar TABAZA +2 more
doaj +1 more source
Nilpotent Lie algebras of derivations with the center of small corank
Karpatsʹkì Matematičnì Publìkacìï, 2020 Let $\mathbb K$ be a field of characteristic zero, $A$ be an integral domain over $\mathbb K$ with the field of fractions $R=Frac(A),$ and $Der_{\mathbb K}A$ be the Lie algebra of all $\mathbb K$-derivations on $A$. Let $W(A):=RDer_{\mathbb K} A$ and $L$
Y.Y. Chapovskyi +2 more
doaj +1 more source
On the uniqueness of linear convection–diffusion equations with integral boundary conditions
Comptes Rendus. Mathématique, 2023 We investigate a class of convection–diffusion equations in an expanding domain involving a parameter, where we consider integral boundary conditions that depend non-locally on unknown solutions.
Lee, Chiun-Chang +2 more
doaj +1 more source