Add to ORKGGiven a univariate polynomial f(x) over a ring R, we examine when we can write f(x) as g(h(x)) where g and h are polynomials of degree at least 2. We answer two questions of Gusić regarding when the existence of such g and h over an extension of R implies the existence of such g and h over R
AbstractIt is known (Ritt, 1923; Engstrom, 1941; Lévi, 1942; Dorey and Whaples, 1972) that over fiel...
Take polynomials $f,g\in k[X]$, where $k$ is the field of complex or real numbers. Under certain ass...
AbstractA homogeneous bivariate decomposition of a univariate polynomial f is of the form f = g(h, k...
Let $f(\vec{x}), h_{1}(\vec{x}),...,h_{d}(\vec{x})$ and $g(\vec{x})$ be elements of the polynomial ...
We discuss the behavior of decomposability of polynomials under ring extension. Also, we state two o...
We study of the arithmetic of polynomials under the operation of functional composition, namely, the...
We examine the question of when a polynomial f over a commutative ring has a nontrivial functional d...
A complete structure theorem is given for standard (= Gröbner) bases for bivariate polynomials over ...
In a recent paper [BZ], Barton and Zippel examine the question of when a polynomial $f(x)$ over a f...
If g and h are polynomials of degrees r and s over a field, their functional composition f=g(h) has ...
We are concerned with solving polynomial equations over rings. More precisely, given a commutative d...
If g and h are functions over some field, we can consider their composition f = g(h). The inverse pr...
AbstractIn this paper we investigate how algorithms for computing heights, radicals, unmixed and pri...
We give a detailed exposition of the theory of decompositions of linearised polynomials, using a wel...
In this paper we establish a framework for the decomposition of approximate polynomials. We consider...
AbstractIt is known (Ritt, 1923; Engstrom, 1941; Lévi, 1942; Dorey and Whaples, 1972) that over fiel...
Take polynomials $f,g\in k[X]$, where $k$ is the field of complex or real numbers. Under certain ass...
AbstractA homogeneous bivariate decomposition of a univariate polynomial f is of the form f = g(h, k...
Let $f(\vec{x}), h_{1}(\vec{x}),...,h_{d}(\vec{x})$ and $g(\vec{x})$ be elements of the polynomial ...
We discuss the behavior of decomposability of polynomials under ring extension. Also, we state two o...
We study of the arithmetic of polynomials under the operation of functional composition, namely, the...
We examine the question of when a polynomial f over a commutative ring has a nontrivial functional d...
A complete structure theorem is given for standard (= Gröbner) bases for bivariate polynomials over ...
In a recent paper [BZ], Barton and Zippel examine the question of when a polynomial $f(x)$ over a f...
If g and h are polynomials of degrees r and s over a field, their functional composition f=g(h) has ...
We are concerned with solving polynomial equations over rings. More precisely, given a commutative d...
If g and h are functions over some field, we can consider their composition f = g(h). The inverse pr...
AbstractIn this paper we investigate how algorithms for computing heights, radicals, unmixed and pri...
We give a detailed exposition of the theory of decompositions of linearised polynomials, using a wel...
In this paper we establish a framework for the decomposition of approximate polynomials. We consider...
AbstractIt is known (Ritt, 1923; Engstrom, 1941; Lévi, 1942; Dorey and Whaples, 1972) that over fiel...
Take polynomials $f,g\in k[X]$, where $k$ is the field of complex or real numbers. Under certain ass...
AbstractA homogeneous bivariate decomposition of a univariate polynomial f is of the form f = g(h, k...