Special issue on effective methods in rings of differential operators: foreword by the guest editors

摘要

The papers in this Special Issue contain original research results on the rapidly growing area of Algorithmic Algebra and, more precisely, on Effective Methods in Rings of Dif- ferential Operators and some related rings. In particular, ideals in rings of differential operators are one of the most relevant sets of mathematical objects in this theory, since they play an analogous role to that of polynomial ideals in algebraic geometry. During recent years, many algorithms for manipulating differential operator ideals(and their induced D-modules), that rely heavily on Grobner bases theory for differential operator rings, have been built up.