Commutative ring R is an integral domain iff ab=ac ⇒ b=c where a,b,c belongs to R and a ≠ 0

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Theorem-02:A commutative ring R is an integral domain iff for all a,b,c ∈ R (a≠0) ab=ac then b=c.Theorem-02:A commutative ring R is an integral domain iff for all a,b,c ∈ R (a≠0) ab=ac then b=c.
A commutative ring is an integral domain iff it has the cancellation law .A commutative ring is an integral domain iff it has the cancellation law .
A Ring is Commutative iff (a - b)(a + b) = a^2 - b^2 ProofA Ring is Commutative iff (a - b)(a + b) = a^2 - b^2 Proof
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