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.
定義了本質環，它同時是亞直不可約環和素環的推廣；給出了本質環的一些描述及基本性質；研究了由本質環所決定的兩個特殊根。
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.
本文利用本原環的一些結論討論了亞直不可約環，給出了一個亞直不可約環是本原環，有單位元的單環，全矩陣環，除環的條件。
Finally, based on the structure theorem, we obtain some characterizations of subdirectly irreducible, simple and strictly simple conical idempotent residuated lattices.
特別地，我們給出了嚴格單錐形冪等元賸餘格的一個分類。