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ON COFINITELY WEAK δ--SUPPLEMENTED MODULES.
- Source :
-
Miskolc Mathematical Notes . 2017, Vol. 18 Issue 2, p731-738. 8p. - Publication Year :
- 2017
-
Abstract
- Let R be a ring and M be a left R-module. M is called cofinitely weak δ-supplemented (or briefly δ- CWS-module) if every cofinite submodule of M has a weak δ-supplement in M. In this paper, we give various properties of this kind of modules. It is shown that a module M is δ-CWS-module if and only if every maximal submodule has a weak δ-supplement in M. The class of cofinitely weak δ-supplemented modules are closed under taking homomorphic images, arbitrary sums and short exact sequences. Also we give some conditions equivalent to being a δ-CWS-module for a δ-coatomic module. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HOMOMORPHISMS
*MORPHISMS (Mathematics)
*RING theory
*COCHAIN complexes
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 17872405
- Volume :
- 18
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Miskolc Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 129980255
- Full Text :
- https://doi.org/10.18514/MMN.2017.1496