摘要
Let P be an arbitrary property of rings and homomorphically closed. For an arbitrary ring A we construct quasi P radical QP(A) with transfinite induction, and give another characterization of quasi P radical: QP(A)=∩{I α|I α is an ideal of A, and A/I α contains no non zero P ideal }.
Let P be an arbitrary property of rings and homomorphically closed. For an arbitrary ring A we construct quasi P radical QP(A) with transfinite induction, and give another characterization of quasi P radical: QP(A)=∩{I α|I α is an ideal of A, and A/I α contains no non zero P ideal }.
