A ring is said to have cancellation if whenever a ≠ 0 we have that ab = ac implies b = c. Prove the following statements
Posted: Sat Feb 26, 2022 10:51 am
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
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