Prove that R is a commutative ring with unity element then R is a field if R has no proper ideals.

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A commutative ring with unity is a field if it is a simple ring. Lec-4 A commutative ring with unity is a field if it is a simple ring. Lec-4
There is only one identity element. If R is a field, then R has no proper ideals. There is only one identity element. If R is a field, then R has no proper ideals.
Prove that a commutative ring with unity is a field. If it has no proper ideal. Prove that a commutative ring with unity is a field. If it has no proper ideal.
Ring Theory | A commutative ring R with unity is Field iff R has no Proper Ideals | Complete Proof Ring Theory | A commutative ring R with unity is Field iff R has no Proper Ideals | Complete Proof
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