Integral domain T or F Flashcards
1
Q
nZ has zero divisors if n is not prime
A
F
2
Q
Every field is an integral domain.
A
T
3
Q
The characteristic of nZ is n.
A
F
4
Q
As a ring, Z is isomorphic to nZ for all n≥1.
A
F
5
Q
The cancellation law holds in any ring that is isomorphic to an integral domain.
A
T
6
Q
Every integral domain of characteristic 0 is infinite.
A
T
7
Q
The direct product of two integral domains is again an integral domain.
A
F
8
Q
A divisor of zero in a commutative ring with unity can have no multiplicative inverse.
A
T
9
Q
nZ is a subdomain of Z.
A
F
10
Q
Z is a subfield of Q.
A
F
