Basic Definitions and Results Flashcards
1
Q
Characteristic of a field
A
2
Q
Division algorithm
A
3
Q
Nonzero ideals of F[x]
A
4
Q
Deciding if a polynomial is reducible
A
5
Q
Gauss’ Lemma
A
6
Q
monic polynomial in Z[x]
A
7
Q
Eisenstein’s criterion
A
(…then f is irreducible in Q[x])
8
Q
Extension fields, examples
A
9
Q
Multiplicativity of degree
A
10
Q
Construction of some extension fields
A
11
Q
Example of
A
12
Q
Stem field
A
13
Q
A
