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About
References to 'prime ideal'
1.
$m$-system
by
CWoo
2.
$V(I)=\emptyset$ implies $I=R$
by
Wkbj79
3.
a characterization of the radical of an ideal
by
CWoo
4.
algebraic geometry
by
archibal
5.
algebraic number theory
by
alozano
6.
algebraic sets and polynomial ideals
by
mathcam
7.
alternative definition of Krull valuation
by
polarbear
8.
associated prime
by
rspuzio
9.
biquadratic field
by
Wkbj79
10.
Boolean ideal
by
CWoo
11.
calculating the splitting of primes
by
mathcam
12.
characterization of prime ideals
by
GrafZahl
13.
class number divisibility in extensions
by
alozano
14.
decomposition group
by
djao
15.
Dedekind domain
by
mathcam
16.
Dedekind domains with finitely many primes are PIDs
by
gel
17.
Dedekind zeta function
by
bwebste
18.
discriminant
by
djao
19.
equivalent characterizations of Dedekind domains
by
gel
20.
equivalent definitions for UFD
by
joking
21.
every PID is a UFD - alternative proof
by
joking
22.
every prime ideal is radical
by
alozano
23.
example of ring which is not a UFD
by
alozano
24.
examples of integrally closed extensions
by
rm50
25.
fractional ideal
by
djao
26.
height of a prime ideal
by
CWoo
27.
Hensel's lemma
by
alozano
28.
ideal class group is finite
by
rm50
29.
ideal decomposition in Dedekind domain
by
pahio
30.
ideal included in union of prime ideals
by
polarbear
31.
ideals contained in a union of radical ideals
by
joking
32.
ideals with maximal radicals are primary
by
joking
33.
inertial degree
by
djao
34.
invertible ideals in semi-local rings
by
gel
35.
irreducible of a UFD is prime
by
pahio
36.
Krull's principal ideal theorem
by
drini
37.
local ring
by
djao
38.
localization
by
djao
39.
localization of a module
by
CWoo
40.
localizations of Dedekind domains are Dedekind
by
gel
41.
maximal ideal
by
djao
42.
maximal ideal is prime
by
pahio
43.
maximal ideal is prime (general case)
by
mclase
44.
minimal prime ideal
by
antizeus
45.
motivation for Euclidean domains
by
Wkbj79
46.
multiplicative sets in rings and prime ideals
by
joking
47.
multiplicatively closed
by
CWoo
48.
P-space
by
CWoo
49.
PID and UFD are equivalent in a Dedekind domain
by
rm50
50.
primary decomposition
by
mathcam
51.
primary ideal
by
mathcam
52.
prime
by
djao
53.
prime element
by
drini
54.
prime ideal decomposition in quadratic extensions of $\mathbb{Q}$
by
alozano
55.
prime ideal factorization is unique
by
gel
56.
prime ideals by Artin are prime ideals
by
pahio
57.
prime radical
by
CWoo
58.
prime residue class
by
pahio
59.
prime ring
by
Wkbj79
60.
prime spectrum
by
CWoo
61.
proof of finite separable extensions of Dedekind domains are Dedekind
by
gel
62.
proof of prime ideal decomposition in quadratic extensions of $\mathbb{Q}$
by
Wkbj79
63.
proof that a domain is Dedekind if its ideals are invertible
by
gel
64.
proof that a domain is Dedekind if its ideals are products of primes
by
gel
65.
proof that a Noetherian domain is Dedekind if it is locally a PID
by
gel
66.
Pr\"ufer domain
by
mathcam
67.
quotient ring modulo prime ideal
by
pahio
68.
radical of an ideal
by
CWoo
69.
ramification index
by
djao
70.
ramification of archimedean places
by
alozano
71.
ray class field
by
alozano
72.
Riemann-Hurwitz theorem
by
alozano
73.
saturated
by
drini
74.
Schinzel's theorem
by
alozano
75.
semiprime ideal
by
antizeus
76.
simple field extension
by
pahio
77.
special notations in algebra
by
Wkbj79
78.
splitting and ramification in number fields and Galois extensions
by
alozano
79.
support
by
djao
80.
the ramification index and the inertial degree are multiplicative in towers
by
alozano
81.
the set of prime ideals of a commutative ring with identity
by
bwebste
82.
topics on ideals
by
pahio
83.
unique factorization and ideals in ring of integers
by
pahio
84.
unramified action
by
alozano
85.
using Minkowski's constant to find a class number
by
alozano
86.
valuation
by
djao
87.
von Neumann regular
by
CWoo
88.
weak approximation theorem
by
rm50
89.
zero ideal
by
pahio
90.
zero ring
by
Wkbj79