A note on cancellation of projective modules
Abstract
Let A be a ring of dimension d. Assume that for every finite extension ring R of A, Ed+1(R) acts transitively on Umd+1(R). Then we prove that E(A P) acts transitively on Um(A P), for any projective A-module P of rank d. As a consequence of this, we generalise some results of Gubeladze.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.