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.
Yılmaz, E., & Kılıçarslan Cansu, S. (2014). Baer's lower nilradical and classical prime submodules. Bulletin of the Iranian Mathematical Society, 40(5), 1263-1274.
MLA
E. Yılmaz; S. Kılıçarslan Cansu. "Baer's lower nilradical and classical prime submodules". Bulletin of the Iranian Mathematical Society, 40, 5, 2014, 1263-1274.
HARVARD
Yılmaz, E., Kılıçarslan Cansu, S. (2014). 'Baer's lower nilradical and classical prime submodules', Bulletin of the Iranian Mathematical Society, 40(5), pp. 1263-1274.
VANCOUVER
Yılmaz, E., Kılıçarslan Cansu, S. Baer's lower nilradical and classical prime submodules. Bulletin of the Iranian Mathematical Society, 2014; 40(5): 1263-1274.
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