R. Laubenbacher et K. Schlauch, An algorithm for the Quillen-Suslin Theorem for quotients of polynomial rings by monomial ideals, J SYMB COMP, 30(5), 2000, pp. 555-571
This paper presents an algorithm for the Quillen Suslin Theorem for quotien
ts of polynomial rings by monomial ideals, that is, quotients of the form A
= k[x(0),...,x(n)]/I, with I a monomial ideal and k a field. Vorst proved
that finitely generated projective modules over such algebras are free. Giv
en a finitely generated module P, described by generators and relations, th
e algorithm tests whether P is projective, in which case it computes a free
basis for P. (C) 2000 Academic Press.