A ring is said to have cancellation if whenever a ≠ 0 we have that ab = ac implies b = c. Prove the following statements

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answerhappygod
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A ring is said to have cancellation if whenever a ≠ 0 we have that ab = ac implies b = c. Prove the following statements

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A ring is said to have cancellation if whenever a ≠ 0 we have
that ab = ac implies b = c. Prove the following statements (a) If R
is an ID, then R has cancellation. (b) If R has cancellation, then
R is an ID
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