Ring detail

Name: Right-not-left ACC on annihilators triangular ring

This ring suggested by: JoseBrox

Description: Let $S$ be the first Weyl algebra over $\mathbb Q$, and $M$ be a maximal right ideal of $S$. The required ring is the triangular ring $\begin{bmatrix}\mathbb Z &\frac{S}{M} \\ 0 & S\end{bmatrix}$

Keywords triangular ring

Reference(s):

• T.-Y. Lam. Exercises in modules and rings. (2007) @ Exercises 6.23, 12.7, 12.8

Legend
• = has the property
• = does not have the property
• = information not in database
Name Measure
cardinality $\aleph_0$

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