亚直不可约环成为全矩阵环、除环的条件(英文)

Some Conditions For Subdirectly Irreducible Rings To Be Full Matrix Rings or Divison Rings

本文利用本原环的一些结论讨论了亚直不可约环,给出了一个亚直不可约环是本原环,有单位元的单环,全矩阵环,除环的条件。

In this paper,we give some conditions that a subdirectly irreducible ring is a primitive ring,simple ring with identity,full matrix ring,or a division ring.