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Show that a ring is commutative if it has the property
Chapter 12, Problem 8E(choose chapter or problem)
QUESTION:
Problem 8E
Show that a ring is commutative if it has the property that ab = ca implies b = c when a ≠ 0.
Questions & Answers
QUESTION:
Problem 8E
Show that a ring is commutative if it has the property that ab = ca implies b = c when a ≠ 0.
ANSWER:
Step 1 of 2
Let R be a ring with the property that implies when
The objective is to prove that R is commutative.
That is to prove that for all
Let
Assume that