Abstract:

Let I be a projective ideal of a noetherian ring R and I^m=Iⁿ for some m≠n. We prove that every finitely generated projective right R-module is power stably free if and only if (1) there exists a ring S such that I^|m-n|( S ( R and every finitely generated projective right S-module is power stably free, and (2)every finitely generated projective right R/I^|m-n|-module is power stably free.

Key words: Noetherian ring, Power stably free, K₀-group