TY - JOUR ID - 564 TI - Baer's lower nilradical and classical prime submodules JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - Yılmaz, E. AU - Kılıçarslan Cansu, S. AD - Abant İzzet Baysal University AD - Istanbul Technical University Y1 - 2014 PY - 2014 VL - 40 IS - 5 SP - 1263 EP - 1274 KW - Envelopes‎ KW - ‎Nilradical‎ KW - ‎classical prime submodules‎ KW - ‎semi-prime submodules‎ DO - N2 - Let $N$ 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. UR - http://bims.iranjournals.ir/article_564.html L1 - http://bims.iranjournals.ir/article_564_7fdaebb33e052f3690d592f01b7f3311.pdf ER -