If R is a ring and a\neq 0\in R and ab=ca, then b=c. How can I show that R is an integral domain?

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- May 15th 2011, 01:06 PMroadRing, Integral Domain
If R is a ring and a\neq 0\in R and ab=ca, then b=c. How can I show that R is an integral domain?

- May 15th 2011, 01:11 PMtonio
- May 15th 2011, 01:12 PMTheEmptySet