The ring is $\begin{bmatrix} F_2&F_2\\0&\mathbb Z_{(2)}\end{bmatrix}$ where the field of two elements $F_2$ is given the natural right $\mathbb Z_{(2)}$ module structure by localizing $\mathbb Z$ at the prime ideal $(2)$
Keywords localization triangular ring
Name | Measure | |
---|---|---|
cardinality | $\aleph_0$ | |
composition length | left: $\infty$ | right: $\infty$ |
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