【摘要】 证明了如下的定理:设Ω为一半质环,A为Ω的一个有单位元的理想,若Ω的含于A的主左理想几乎满足降链条件,则A是Jacobson半单纯的Artin环。更多还原

【Abstract】 We proved the following theorem: let Ω be a semiprime ring, A an ideal of Ω with identity element, if the principal left ideals of Ω contained in A almost satisfy the descending chain condition, then A is a Jacobson-Semisimple Artinian ring.更多还原