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Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230

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Section
BuyFindarrow_forward

Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230
Textbook Problem
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Assume that is an associative binary operation on the non empty set A . Prove that

a [ b ( c d ) ] = [ a ( b c ) ] d

for all a , b , c , and d in A .

To determine

To prove: a[b(cd)]=[a(bc)]d for all a,b,c, and d in A, where is an associative binary operation on the non empty set A.

Explanation

Given Information:

Associative binary operation on the non empty set A is *.

Formula Used:

If is an associative binary operation on the non empty set A then for all x,y,zA, we have, x(yz)=(xy)z.

Explanation:

Consider the left side of a[b(cd)]=[a(bc)]d,

a[b(cd)]</

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