A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf
.
Strong Preinjective Partitions and Representation Type of Artinian Rings
1990
Proceedings of the American Mathematical Society
It is shown that for every ring of left pure global dimension zero (i.e., for every ring all of whose left modules are direct sums of finitely generated modules), the finitely generated left modules can be grouped to a unique "strong preinjective partition" while the finitely presented right modules possess a "strong preprojective partition"; these strong partitions are upgraded versions of the partitions introduced by Auslander and Smal0 for Artin algebras. One direct consequence is that a
doi:10.2307/2047989
fatcat:lupk5lbc3jcjjhnot2gme7zhly