A parallel Gröbner solver as a Web component

Joining separate computer algebra systems and numeric systems with individual strengths into problem solving environments is an important recent research direction. In this paper we describe how we wrapped a specialized computer algebra system, which uses shared-memory parallelism to speed up Gröbner basis computations, into aWeb component that can be used by other systems. By this component also a new algorithmic development in Gröbner basis computations—the use of the fractal Gröbner walk—was made available to various gen-eral purpose computer algebra systems in the form of a single optimized implementation. Previously, all of the important algorithmic improvements to an algorithm had to be reim-plemented in the general purpose systems. Our implementation allows access to the Gröbner basis computations via “intelligent” graphical user interfaces and via scripting from existing general purpose algebra systems. The architecture is prototypical for many other specialized systems to be joined into prob-lem solving environments.