Über B. Buchbergers verfahren,systeme algebraischer gleichungen zu lösen

An algorithm of B. Buchberger's is extended to polynomial rings over a Noetherian ring. In a specialized version, it can be used for computing “elimination ideals”. Over fields, it provides the determination of the minimal prime ideals which contain the given ideal, except that the primeness must be proved with other methods. Estimates for computing time are not given.