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Supplement Extending Modules | ||
| Iraqi Journal of Science | ||
| Article 1, Volume 56, Issue 3, 2015, Pages 2341-2345 | ||
| Authors | ||
| Sahira M.Yaseen; Mustafa Mamoon Tawfeek | ||
| Abstract | ||
| In this note we consider a generalization of the notion of extending modules namely supplement extending modules. And study the relation between extending and supplement extending modules. And some properties of supplement extending. And we proved the direct summand of supplement extending module is supplement extending, and the converse is true when the module is distributive. Also we study when the direct sum of supplement extending modules is supplement extending. | ||
| Keywords | ||
| Closed submodule; Supplement submodule; Extending modules | ||
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