Volume 36 • Number 3 • 2013   • A Note on $F$-Weak Multiplication Modules Hamid Agha Tavallaee, Mansoureh Mahtabi Oghani, and Robabeh Mahtabi Oghani Abstract. In this paper the definition of an $F$-weak multiplication module is given and we prove some results for such a module. Then, using the definition of a semiprime submodule of a module, we characterize these submodules for $F$-weak multiplication modules. Finally, we show that any $F$-weak multiplication module satisfies the semi-radical formula. 2010 Mathematics Subject Classification: 13C05, 13C13, 13E15, 13C99 Full text: PDF