- #1
Benzoate
- 422
- 0
Homework Statement
If A is an ideal of a ring R and 1 belongs to A, prove that A=R.
Homework Equations
The Attempt at a Solution
I said that r should an element of R. and since A is ideal to ring R and 1 is an element of A , then ar should be an element of A . 1 must be an element of a which is an element of ar which is an element of A. Therefore 1*ra=ar*1=> 1 is an element of R. Therefore,R=A