IX. Factorisation in Integral Domains Flashcards
1
Q
Definition
Division in integral domains.
Associated.
A
2
Q
Lemma IX.1.1
a~b iff.
A
3
Q
Definition
Irreducible
A
4
Q
Definition
Prime
A
5
Q
Lemma IX.2.3
Every prime in an integral domain…
A
6
Q
Definition
Unique factorisation domain.
A
7
Q
Theorem IX.4.1
Division with remainder for integers
A
8
Q
Theorem IX.4.2
Divison with remainder for polynomials.
A
9
Q
Definition
Euclidean function.
Euclidean ring.
A
10
Q
Theorem IX.5.1
\mathbb{ZZ} is what
A
11
Q
Theorem IX.5.2
If F is a field, then F[x] is…
A
12
Q
Theorem IX.5.4
Z[i] is a…
A
