In addition, it is proved that if R isa MHR-ring then so are the polynomial ring R[x] and the matrix ring M_(R) over the ring R. And a necessary and sufficient condition for a ring to be a nil MH_1R-ring is also given.

• 此外,证明了诣零MHR-环的多项式环和矩阵环也是诣零MHR-环,环成为诣零MH_1R-环的一个充分必要条件也被给出。