Representation type of commutative Noetherian rings I: Local wildness

Lee Klingler and Lawrence S. Levy

Vol. 200 (2001), No. 2, 345–386

DOI: 10.2140/pjm.2001.200.345

Abstract

This is the first of a series of four papers describing the finitely generated modules over all commutative noetherian rings that do not have wild representation type (with a possible exception involving characteristic 2). This first paper identifies the wild rings, in the complete local case. The second paper describes the finitely generated modules over the remaining complete local rings. The last two papers extend these results by dropping the “complete local” hypothesis.

Milestones

Received: 9 September 1999

Revised: 29 November 2000

Published: 1 October 2001