Question: Exercise 8 . 6 . 3 . Using the usual definitions of addition and multiplication, determine which of these properties are possessed by N ,

Exercise 8.6.3. Using the usual definitions of addition and multiplication, determine which of these properties are possessed by N, Z,and Q, respectively.
Although we will not pursue this here in any depth, all of the familiar al-gebraic manipulations in Q (e.g., x + y = x + z implies y = z)can be derived from this short list of properties

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