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Prove that A x B is Abelian iff both A and B are Abelian
Chapter 15, Problem 15.18(choose chapter or problem)
QUESTION:
Prove that A x B is Abelian iff both A and B are Abelian.
Questions & Answers
QUESTION:
Prove that A x B is Abelian iff both A and B are Abelian.
ANSWER:Step 1 of 2
The objective is to prove that is Abelian iff both A and B are Abelian
First suppose that A and B are abelian
For (a,b) and (x,y) in
Hence, is Abelian.