- #1

Stephen88

- 61

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## Homework Statement

Let R be a ring in which 1_R = 0_R .Show that R has only one element.

## Homework Equations

## The Attempt at a Solution

I'm trying to show that a*0_r=a*1_r implies a*0_r=0_r.

if 0=0+0=>a*0=a*(0+0)=a*0+a*0=a*1_r+a*1_r=2a=>a*0=2a= >a=0...is this correct? If not

Is there something I should do?