Show that this ring has no identity. – math.stackexchange.com

Show that this ring has no identity. – math.stackexchange.com

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Let $R=\left \{ g:\Bbb{R}\to \Bbb{R} \mid g \text{ is continuous and } g(1)=0 \right \}$ be a ring. Show that $R$ has no identity. The answer says there does not exist a function $h(x)\in R$ such ...

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