3. Determine in each case, if the given * is (i)commutative and (i)associative. a. On Z, a + b = a + ab b. On Q', a + b = On z*, a * b = ab C.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.3: The Field Of Quotients Of An Integral Domain
Problem 5E
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3. Determine in each case, if the given * is (i)commutative and (i)associative.
a. On Z, a + b = a + ab
b. On Q', a + b =
On z*, a * b = ab
C.
Transcribed Image Text:3. Determine in each case, if the given * is (i)commutative and (i)associative. a. On Z, a + b = a + ab b. On Q', a + b = On z*, a * b = ab C.
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