Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6414612 | Journal of Algebra | 2014 | 29 Pages |
Abstract
Bijective correspondences are established between endofinite injective left modules, endofinite flat right modules, finite collections of minimal noetherian prime ideals, normalized rank functions on left ideals and characters. Endofinite flat modules are identified as flat covers of modules associated to a minimal noetherian prime ideal, while endofinite flat injectives are characterized by localizations with a semiprimary QF-3 quotient ring.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Wolfgang Rump, Simon Schmider,