Results 41 to 50 of about 99,592 (142)

Integer-Valued Polynomials and Prüfer v-Multiplication Domains

Journal of Algebra, 2000
If \(D\) is a domain with quotient field \(K\) then the ring of integer valued polynomials over \(D\) is \(\text{Int}(D)=:\{f \in K[X] \mid f(D) \subseteq D\}\). This paper is devoted to relating certain properties of \(\text{Int}(D)\) to those of \(D\). A domain, \(D\), is Prüfer if for each prime ideal, \(P\), \(D_P\) is a valuation domain.
CAHEN P. J, LOPER A, TARTARONE, FRANCESCA   +2 more
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Capacity Analysis of Hybrid Satellite–Terrestrial Systems with Selection Relaying

Entropy
A hybrid satellite–terrestrial relay network is a simple and flexible solution that can be used to improve the performance of land mobile satellite systems, where the communication links between satellite and mobile terrestrial users can be unstable due ...
Predrag Ivaniš, Jovan Milojković, Vesna Blagojević, Srđan Brkić   +3 more
doaj   +1 more source

Integer-Valued Polynomials on a Subset

Journal of Number Theory, 1997
If \(R\) is a domain with quotient field \(K\) and \(E\) is a subset of \(R\), then let \(\text{Int} (E)\) be the set of all polynomials \(f\in K[X]\) satisfying \(f(E)\subset R\). Moreover denote by \(cl_R(E)\), the closure of \(E\), the largest subset \(F\) of \(R\) for which \(\text{Int}(F)= \text{Int}(E)\).
openaire   +2 more sources

Extension Fields and Integer-Valued Polynomials

Journal of Number Theory, 1998
Let \(A\) be a Dedekind domain with finite residue fields and quotient field \(K\), and let \(\text{Int}(A)=\{f\in K[X]\mid f(A)\subset A\}\) be the ring of integer valued polynomials for \(A\). If \(L\) is a finite separable extension of \(K\) and \(B\) is the integral closure of \(A\) in \(L\), one may form \(\text{Int}(B)\) and ask how it is related
openaire   +2 more sources

Decomposition of integer-valued polynomial algebras [PDF]

Journal of Pure and Applied Algebra, 2018
to appear in J. Pure Appl. Algebra (2017).
Peruginelli, Giulio, Werner, Nicholas J.
openaire   +2 more sources

Nash regulous functions

, 2017
A real-valued function on R^n is k-regulous, where k is a nonnegative integer, if it is of class C^k and can be represented as a quotient of two polynomial functions on R^n. Several interesting results involving such functions have been obtained recently.
Kucharz, Wojciech
core   +1 more source

Integer-valued polynomials on algebras

Journal of Algebra, 2013
17 pages; a glitch in the published version (J.Algebra 373 (2013) 414-425) has been corrected in this post-preprint, namely, in Prop. 6.2 and Thm. 6.3, the assumption "zero Jacobson radical" needs to be replaced by the stronger assumption "intersection of maximal ideals of finite index is zero"
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Mori domains of integer-valued polynomials

Journal of Pure and Applied Algebra, 2000
The authors deal with the problem under which conditions the ring \[ \text{Int} (D)=\{f\in K[X]; f(D)\subseteq D\} \] of integer-valued polynomials over a domain \(D\) with quotient field \(K\) is a Mori domain. If \(D\) is e.g. a Krull domain or a one-dimensional Noetherian domain this question is answered completely because in this case holds ...
CAHEN P. J, GABELLI, Stefania, HOUSTON E.   +2 more
openaire   +3 more sources

Around multivariate Schmidt-Spitzer theorem

, 2013
Given an arbitrary complex-valued infinite matrix A and a positive integer n we introduce a naturally associated polynomial basis B_A of C[x0...xn]. We discuss some properties of the locus of common zeros of all polynomials in B_A having a given degree m;
Alexandersson, Per, Shapiro, Boris
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On the link between Binomial Theorem and Discrete Convolution of Polynomials

, 2020
Let $\mathbf{P}^{m}_{b}(x), \; m\in\mathbb{N}$ be a $2m+1$-degree integer-valued polynomial in $b,x\in\mathbb{R}$. In this manuscript we show that Binomial theorem is partial case of polynomial $\mathbf{P}^{m}_{b}(x)$. Furthermore, by means of $\mathbf{P}
Kolosov, Petro
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