Representation Type of Commutative Noetherian Rings I: Wildness 
by Lee Klingler and Lawrence S. Levy 
Reference

-------------------------------------------------------------------------------

KEYWORDS 
Wild representation type 
DATE 
May 16, 1999 
STATUS 
preprint 
COMMENT 
Typset by AMS-LaTex 

-------------------------------------------------------------------------------

Abstract
This is the first of a series of three papers showing that every commutative 
noetherian ring has either wild or tame representation type (with a possible 
exception involving characteristic 2), and describing the finitely generated 
modules when the type is tame. This first paper identifies the wild rings, 
in the complete local case, and proves that they are wild. The second paper 
proves that all remaining complete local rings (with the possible exception 
noted above) are tame, by describing their finitely generated modules 
explicitly. The third paper deals with the non-complete, non-local, situation 
and the local-versus-global behavior of modules over tame rings. The second 
and third papers of this series also establish tameness of a small number of 
noncommutative rings. 
-------------------------------------------------------------------------------