Graded semiprime submodules and graded semi-radical of graded submodules in graded modules (Q1683909)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Graded semiprime submodules and graded semi-radical of graded submodules in graded modules |
scientific article; zbMATH DE number 6815068
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Graded semiprime submodules and graded semi-radical of graded submodules in graded modules |
scientific article; zbMATH DE number 6815068 |
Statements
Graded semiprime submodules and graded semi-radical of graded submodules in graded modules (English)
0 references
1 December 2017
0 references
The authors present several results and concepts on graded semiprime modules including all the necessary definitions. Here is for example Theorem 2.6: ``Let \(R\) be a \(G\)-graded ring, \(M\) a graded \(R\)-module and \(N\) a graded submodule of \(M\). Then \(N\) is a graded prime submodule of \(M\) if and only if \(N\) is a graded primary submodule of \(M\) and \((N :_R M)\) is a graded semiprime ideal of \(R\).''
0 references
Gr-McCasland module
0 references
graded submodule
0 references
graded semiprime submodule
0 references
graded semi-radical
0 references
