$\operatorname{Max}(R)$ and my problem

Question

Let $R:=\mathbb{R} ^{[0,1]}$ and let $m:={f\in R: f(0)=0}$. Show that $m\in \operatorname{Max}(R)$. how to solve this problem?

Same solution as http://math.stackexchange.com/q/267627/29335, although strictly speaking this is a different question — rschwieb, Feb 04 '15 at 22:30

score 2 · Answer 1 · answered Feb 04 '15 at 21:56

2

Hint: Evaluation at zero gives a ring homomorphism $R \to \mathbb R$.

answered Feb 04 '15 at 21:56

Jim

1 Answers1