چكيده لاتين :
Let R be a commutative ring with identity and let M be a unitary R -module. Then we study the properties of prime and semiprime submodules and consider the connection between some semiprime submodules of M and the quotient module M s (a
subset S of a ring R is said to be multiplicatively closed if whenever s, Sי belong to S, then
their product ssי also belongs to S ). Also we prove some results, which have been already
proved when the modules are free, concerning the prime submodules of any arbitrary R -
module.
°2000 Mathematics Subject Classification. 13C13, 13C99
