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About
References to 'integral closure'
1.
algebraic geometry
by
archibal
2.
algebraic number theory
by
alozano
3.
an exact sequence for ray class groups
by
alozano
4.
Artin map
by
djao
5.
biquadratic field
by
Wkbj79
6.
Boolean ideal
by
CWoo
7.
calculating the splitting of primes
by
mathcam
8.
composition series
by
mclase
9.
congruence in algebraic number field
by
pahio
10.
counter example to Nakayama's lemma for non-finitely generated modules
by
sjm
11.
criterion of N\'eron-Ogg-Shafarevich
by
alozano
12.
cyclotomic field
by
Wkbj79
13.
cyclotomic units
by
mathcam
14.
decomposition group
by
djao
15.
Dedekind zeta function
by
bwebste
16.
determining the continuations of exponent
by
pahio
17.
Dirichlet's unit theorem
by
yark
18.
discriminant
by
djao
19.
divisor theory in finite extension
by
pahio
20.
divisors in base field and finite extension field
by
pahio
21.
every ring is an integer algebra
by
rspuzio
22.
example of a Bezout domain that is not a PID
by
Wkbj79
23.
example of an Artinian module which is not Noetherian
by
joking
24.
example of ring which is not a UFD
by
alozano
25.
examples of characteristic functions
by
Wkbj79
26.
examples of elliptic curves with complex multiplication
by
alozano
27.
examples of integrally closed extensions
by
rm50
28.
examples of modules
by
mathcam
29.
examples of prime ideal decomposition in number fields
by
alozano
30.
examples of radicals of ideals in commutative rings
by
joking
31.
examples of ring of integers of a number field
by
alozano
32.
examples of rings
by
matte
33.
finite extensions of Dedekind domains are Dedekind
by
gel
34.
Galois representation
by
alozano
35.
gr\"ossencharacter
by
alozano
36.
Hensel's lemma
by
alozano
37.
ideal norm
by
pahio
38.
ind-variety
by
benjaminfjones
39.
index of the group of cyclotomic units in the full unit group
by
alozano
40.
inertial degree
by
djao
41.
integer
by
CWoo
42.
integral closures in separable extensions are finitely generated
by
rm50
43.
integral domain
by
djao
44.
integrally closed
by
rmilson
45.
integrity characterized by places
by
pahio
46.
Kronecker-Weber theorem
by
alozano
47.
Kummer's lemma
by
alozano
48.
lemma for imaginary quadratic fields
by
pahio
49.
list of all imaginary quadratic extensions whose ring of integers is a PID
by
rm50
50.
modulus
by
djao
51.
multiplicative congruence
by
djao
52.
norm-Euclidean number field
by
pahio
53.
normal complex analytic variety
by
jirka
54.
number field that is not norm-Euclidean
by
pahio
55.
order in an algebra
by
alozano
56.
orders in a number field
by
pahio
57.
power basis over $\mathbb{Z}$
by
Wkbj79
58.
prime ideal decomposition in cyclotomic extensions of $\mathbb{Q}$
by
alozano
59.
prime ideal decomposition in quadratic extensions of $\mathbb{Q}$
by
alozano
60.
prime ideal factorization is unique
by
gel
61.
proof of basis of ideal in algebraic number field
by
lalberti
62.
proof of finite extensions of Dedekind domains are Dedekind
by
gel
63.
proof of finite inseparable extensions of Dedekind domains are Dedekind
by
gel
64.
proof of finite separable extensions of Dedekind domains are Dedekind
by
gel
65.
proof of Minkowski's bound
by
gel
66.
proof of norm and trace of algebraic number
by
Wkbj79
67.
proof that the cyclotomic polynomial is irreducible
by
djao
68.
quadratic imaginary norm-Euclidean number fields
by
pahio
69.
ramification index
by
djao
70.
ramification of archimedean places
by
alozano
71.
ray class field
by
alozano
72.
ray class group
by
djao
73.
regulator
by
alozano
74.
representing primes as $x^2+ny^2$
by
rm50
75.
Riemann-Hurwitz theorem
by
alozano
76.
ring of $S$-integers
by
alozano
77.
root-discriminant
by
alozano
78.
separability is required for integral closures to be finitely generated
by
rm50
79.
splitting and ramification in number fields and Galois extensions
by
alozano
80.
Thaine's theorem
by
mathcam
81.
the cyclotomic units are algebraic units
by
alozano
82.
the ramification index and the inertial degree are multiplicative in towers
by
alozano
83.
the ring of integers of a number field is finitely generated over $\mathbb{Z}$
by
alozano
84.
theorems on continuation
by
pahio
85.
top ten coolest numbers
by
rspuzio
86.
topic entry on algebra
by
rspuzio
87.
topics on ideal class groups and discriminants
by
alozano
88.
unique factorization and ideals in ring of integers
by
pahio
89.
unit
by
drini
90.
units of real cubic fields with exactly one real embedding
by
Wkbj79
91.
unramified action
by
alozano