- #1

mathmari

Gold Member

MHB

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Let $R$ be a ring and let $I\subseteq R$ the unique maximal right ideal of $R$.

I want to show the following:

- $I$ is an ideal
- each element $a\in R-I$ is invertible
- $I$ is the unique maximal left ideal of $R$

Could you give me some hints how we could show that? (Wondering)