2 For the given binary operations *, determine whether they are commutative and associative (a) on Z defre axb-a-b (6) on Q define axbabt, e) on zt, define axb = 296 ab > "

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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2 For the given binary operations *, determine
whether they are commutative and associative
(a) on Z
axb
6)
7
defie
a-b
on Q
1
define
on z, define axb = 2
axbabti
296
.
Transcribed Image Text:2 For the given binary operations *, determine whether they are commutative and associative (a) on Z axb 6) 7 defie a-b on Q 1 define on z, define axb = 2 axbabti 296 .
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