It is well-known, that the ring C[X1, . . . , Xn]An of polynomial invariants of the alternating group An has no finite SAGBI basis with respect to the lexicographical order for any...
Given an n-degree polynomial fx over an arbitrary ring, the shift of fx by c is the operation which computes coefficients of the polynomial fx + c. In this paper we conside...
We study the link between the complexity of a polynomial and that of its coefficient functions. Valiant’s theory is a good setting for this, and we start by generalizing one of V...
The purpose of this paper is to describe a method to determine whether a bivariate polynomial with rational coefficients is irreducible when regarded as an element in Q((x))[y], th...
This paper approaches the incremental view maintenance problem from an algebraic perspective. We construct a ring of databases and use it as the foundation of the design of a quer...