A note on the paper 《On the K?the problem and the nilpotent problem》

Abstract:

      In the paper [1], Xu Yonghua has studied the necessary and sufficient condition for the K?the conjecture to be affirmed, for every one side nil ideal to he nilpotent, respectively. In this paper.it is proved that "The chains of the homomorphic left R modules are inductive on one of the K?the subsets" can he used instead of "The chains are inductive on every one of the K?the sub sets" in the paper [1],so Xu's results are improved.