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MODULES THAT HAVE A WEAK δ-SUPPLEMENT IN EVERY COFINITE EXTENSION.
- Source :
-
Journal of Science & Arts . 2018, Vol. 18 Issue 1, p133-138. 6p. - Publication Year :
- 2018
-
Abstract
- In this paper, we study on modules that have a weak (ample) δ-supplement in every extension which are adapted Zöschinger's modules with the properties (E) and (EE). It is shown that: (1) Direct summands of modules with the property δ-(CWE) have the property δ-(CWE); (2) For a module M, if every submodule of M has the property δ-(CWE) then so does M; (3) For a ring R, R is δ-semilocal iff every R-module has the property δ-(CWE); (4) Every factor module of a finitely generated module that has the property δ-(CWE) also has the property δ-(CWE) under a special condition; (5) Let M be a module and L be a submodule of M such that L <<#948; M. If the factor module M/L has the property δ-(CWE), then so does M; (6) On a semisimple module the concepts of modules that have the property δ-(CE) and δ-(CWE) coincide with each other. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 18449581
- Volume :
- 18
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Science & Arts
- Publication Type :
- Academic Journal
- Accession number :
- 128993334