Ring detail

Name: Cohn's right-not-left free ideal ring

This ring suggested by: JeremyRickard

Description: Let $M$ be a monoid generated by $y$, $x_i$, $i\in \mathbb Z$ subject to the relations $yx_i=x_{i-1}$. The ring $R$ is the monoid ring $\mathbb Q[M]$.

Keywords semigroup ring


  • P. M. Cohn. Free ideal rings and localization in general rings. (2006) @ End of section 2.10, pp 174-175

  • = has the property
  • = does not have the property
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