# 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

Reference(s):

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

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• = has the property
• = does not have the property
• = information not in database

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