Failure of Cancellation for Direct Sums of Line Bundles
Failure of Cancellation for Direct Sums of Line Bundles
In answer to a question of Murthy and Wiegand, examples are given of finitely generated projective modules L of rank 1 over a commutative ring R suchthat L®L~X is stably free but not free.Examples are also given of projective modules for which the determinant map det: Aut(P) -» R* is …