On Fully Semiprime Submodules and Fully Semiprime Modules

Ibn Al-Haitham Journal for Pure and Applied Sciences

关键词: Fully semiprime submodule, fully semiprime modules, fully invariant submodule, fully prime modules;   

DOI  :  

来源: DOAJ

【 摘 要 】

   Let R be a commutative ring with unity and let M be a unitary R-module. In this paper we study fully semiprime submodules and fully semiprime modules, where a proper fully invariant R-submodule W of M is called fully semiprime in M if whenever XXW for all fully invariant R-submodule X of M, implies XW.         M is called fully semiprime if (0) is a fully semiprime submodule of M. We give basic properties of these concepts. Also we study the relationships between fully semiprime submodules (modules) and other related submodules (modules) respectively.

【 授权许可】

Unknown