Almost small semiprime submodules

摘要

In this work, we give a generalization for the concept of a small semiprime submodule. We call a proper submodule H of an R-module G almosts semiprime submodule of G, if as often as r is an element of R, y is an element of G and k is an element of Z(+) as a result r(k)y is an element of H -H : GH, infers ry is an element of H. We generalize some properties of a small semiprime submodule to almost small semiprime submodule. In addition, we specify the specifications that should be satisfied. A H submodule of duplication R-modules to be almost small semiprime.