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Flat endofinite modules, prime ideals, and duality.
- Source :
-
Journal of Algebra . Jun2014, Vol. 407, p149-177. 29p. - Publication Year :
- 2014
-
Abstract
- 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. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 407
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 95783858
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2014.03.005