In this paper we consider a number of challenges from the point of view of the CoCoA project one of whose tasks is to develop software specialized for computations in commutative a...
For a polynomial ring R = k[x1, ..., xn], we present a method to compute the characteristic cycle of the localization Rf for any nonzero polynomial f R that avoids a direct comput...
In most theorem proving applications, a proper treatment of equational theories or equality is mandatory. In this paper we show how to integrate a modern treatment of equality in ...
We present an algorithm to compute r-th roots in Fqm with complexity O((log m + r log q)m2 log2 q) for certain choices of m and q. This compares well to previously known algorithms...
We study the role of connectivity of communication networks in private computations under information theoretic settings. It will be shown that some functions can be computed by pr...