Ring $R_{ 46 }$

Varadarajan's left-not-right coHopfian ring

Description:

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

Reference(s):

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


Legend
  • = has the property
  • = does not have the property
  • = information not in database
Name Measure
cardinality $\aleph_0$
composition length left: $\infty$right: $\infty$

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