Suppose is an algebraic system and is associative on A.(a) Prove that if , , , are in A
Chapter 6, Problem 10(choose chapter or problem)
Suppose is an algebraic system and is associative on A.(a) Prove that if , , , are in A, then (b) Use complete induction to prove that any product of n factorsin that order is equal to the left-associated productThus the product of n factors is always thesame, no matter how they are grouped by parentheses, as long as theorder of the factors is not changed.
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