VIII. Rings Flashcards
1
Q
Definition
Unit in ring.
Unit group.
A
2
Q
Definition
Gaussian integers.
Norm map.
A
3
Q
Lemma VIII.2.1
N(ab) = …
A
4
Q
Theorem VII.2.2
The unit group Z[i]* = …
A
5
Q
Definition
Ring homomorphism.
Ring isomorphism.
Kernel and image.
A
6
Q
Theorem VIII.3.8
The First Isomorphism Theorem
FORMULA!!!
A
7
Q
Definition
Zero divisor.
Integral domain.
A
8
Q
Lemma VIII.4.1
Any field is…
A subring of a field is…
A
9
Q
Theorem VIII.4.4
Cancellation Law for Integral Domains.
A
10
Q
Theorem VIII.4.5
Every finite integral domain is…
A
11
Q
Theorem VIII.4.6
If R is an integral domain, R[x]…
A
