强素模与强素根

STRONGLY PRIME MODULES AND STRONGLY PRIME RADICALS

本文在结合环上定义了强素模与强素根,讨论了强素模与强素根的基本性质。

Let R to be an associative ring,right R-module M is called strongly prime module if MR≠0 and for each nonzero element m∈M,there exists a finite set R(depending on m) such that=0 for all i(x∈R) implies x∈(0:M)_R.We defined the strongly prime radical of ring by means of strongly prime module,elementary properties of strongly prime module and strongly prime radical are discussed.