Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X40520141001Baer's lower nilradical and classical prime submodules12631274564ENE.YılmazAbant İzzet Baysal UniversityS.Kılıçarslan CansuIstanbul Technical UniversityJournal Article20121208Let $N$ be a submodule of a module $M$ and a minimal primary decomposition of $N$ is known. A formula to compute Baer's lower nilradical of $N$ is given. The relations between classical prime submodules and their nilradicals are investigated. Some situations in which semiprime submodules can be written as finite intersection of classical prime submodule are stated.http://bims.iranjournals.ir/article_564_7fdaebb33e052f3690d592f01b7f3311.pdf