# Ring detail

## Name: Varadarajan's left-not-right coHopfian ring

Description: The ring is $\begin{bmatrix} F_2&F_2\\0&Z_{(2)}\end{bmatrix}$ 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 $(2)$

Krull dimension: (unknown)

Keywords localization triangular ring

Reference(s):

• K. Varadarajan. Hopfian and co-Hopfian objects. (1992) @ (page needed)