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Modules that have a Rad-supplement in every cofinite extension
- Source :
- Miskolc Mathematical Notes. 14:1059
- Publication Year :
- 2013
- Publisher :
- Mathematical Notes, 2013.
-
Abstract
- WOS: 000338514500029 In this paper, we study modules with the properties (CRE) and (CREE), which are adapted Zoschinger's modules with the properties (E) and (EE). It is shown that: (1) a module M has the propery (CREE) if and only if every submodule of M has the propery (CRE); (2) a ring R is Rad-supplemented if and only if every left R-module has the propery (CRE); (3) over a commutative Von Neumann regular ring a module M has the propery (CRE) if and only if M is cofinitely injective.
Details
- ISSN :
- 17872413 and 17872405
- Volume :
- 14
- Database :
- OpenAIRE
- Journal :
- Miskolc Mathematical Notes
- Accession number :
- edsair.doi.dedup.....78bc957d2224c4e3f1ec87d71f042394