Ring $R_{ 20 }$

Right-not-left Artinian triangular ring

Description:

Triangular ring $\begin{bmatrix}\mathbb Q& k\\ 0& k\end{bmatrix}$ where $k$ is the field of constructible numbers.

Keywords triangular ring

Reference(s):

  • T.-Y. Lam. A first course in noncommutative rings. (2013) @ p 20


Legend
  • = has the property
  • = does not have the property
  • = information not in database
Name Measure
cardinality $\aleph_0$
composition length left: $\infty$right: 3
Krull dimension (classical) 0
Name Description
Left singular ideal $\{0\}$
Right singular ideal $\{0\}$