subdirectly irreducible

基本解释

The essential rings are defined, and it is also the generalization of both the subdirectly irreducible rings and the prime rings.
定义了本质环，它同时是亚直不可约环和素环的推广；给出了本质环的一些描述及基本性质；研究了由本质环所决定的两个特殊根。
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.
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。
Finally, based on the structure theorem, we obtain some characterizations of subdirectly irreducible, simple and strictly simple conical idempotent residuated lattices.
特别地，我们给出了严格单锥形幂等元剩余格的一个分类。