Theorem detail

Alias: Uniserial Noetherian rings

Statement: Let $R$ be left and right valuation (=left and right uniserial) and right Noetherian. Then $R$ is left noetherian, and moreover either $R$ is a domain or $R$ is left and right Artinian.

Link: None

Reference(s)

  • G. Puninski. Serial rings. (2001) @ Lemma 7.16 p 85