Patch-continuity of normalized ranks of modules over one-sided Noetherian rings

Kenneth R. Goodearl

Vol. 122 (1986), No. 1, 83–94

DOI: 10.2140/pjm.1986.122.83

Abstract

For J. T. Stafford’s continuity theorem, concerning normalized ranks of finitely generated modules at prime ideals of a noetherian ring, a new proof is developed, which is much simpler than the original proof and also extends the theorem to one-sided noetherian rings.

Mathematical Subject Classification

Primary: 16A33, 16A33

Milestones

Received: 30 August 1984

Revised: 25 January 1985

Published: 1 March 1986