Graded semiprime submodules and graded semi-radical of graded submodules in graded modules (Q1683909)

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 \(R\).''