Question
1. Because a field satisfies axioms A1 ~ A5 for the addition operation and M1 ~ M7 for the multiplication operation, we can perform addition,
1. Because a field satisfies axioms A1 ~ A5 for the addition operation and M1 ~ M7 for the multiplication operation, we can perform addition, subtraction, multiplication, and division operations on its set of elements without leaving the set.
Note that in this question we do not consider division by zero.
A. True
B. False
2. Zn together with the addition and multiplication arithmetic operations modulo n is an integral domain.
A. True
B. False
3. In terms of the Modulo 8 Multiplication in Z8, multiplicative inverse exists to each integer in Z8.
A. True
B. False
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