Projective quasi-coherent sheaves of modules

Richard Arthur Levaro

Vol. 57 (1975), No. 2, 457–461

DOI: 10.2140/pjm.1975.57.457

Abstract

Let R be a commutative ring and R the structure sheaf over the prime spectrum of R.

Theorem: Suppose R has only finitely many minimal primes. Then R is a projective R-Module if and only if R is a finite direct product of local rings.

Mathematical Subject Classification 2000

Primary: 18G05

Milestones

Received: 11 November 1974

Revised: 10 March 1975

Published: 1 April 1975