Algebraic compactness of ultrapowers and representation type

Christian Ulrik Jensen and Birge Huisgen-Zimmermann

Vol. 139 (1989), No. 2, 251–265

DOI: 10.2140/pjm.1989.139.251

Abstract

It is shown that for certain clases of Artin algebras infinite representation type is equivalent to the existence of a module M all of whose ultrapowers M^ℕ∕ℱ fail to be algebraically compact.

Mathematical Subject Classification

Primary: 16A64, 16A64

Secondary: 16A53

Milestones

Received: 23 February 1988

Published: 1 October 1989