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About
References to 'integral domain'
1.
${\mathbb{Z}}_n$
by
Wkbj79
2.
a finite integral domain is a field
by
yark
3.
alternative definition of Krull valuation
by
polarbear
4.
alternative proof that a finite integral domain is a field
by
Wkbj79
5.
an Artinian integral domain is a field
by
yark
6.
an integral domain is lcm iff it is gcd
by
CWoo
7.
analytic polyhedron
by
jirka
8.
associates
by
drini
9.
Bezout domain
by
CWoo
10.
Bezout's lemma (number theory)
by
mathwizard
11.
categorical pullback
by
CWoo
12.
category
by
mathcam
13.
characteristic
by
Mathprof
14.
characterization of prime ideals
by
GrafZahl
15.
Chinese remainder theorem in terms of divisor theory
by
pahio
16.
classical ring of quotients
by
mclase
17.
composite number
by
mathcam
18.
concepts in abstract algebra
by
matte
19.
decomposition group
by
djao
20.
Dedekind domain
by
mathcam
21.
Dedekind-Hasse valuation
by
Henry
22.
divisor as factor of principal divisor
by
pahio
23.
divisor theory
by
pahio
24.
divisor theory and exponent valuations
by
pahio
25.
divisor theory in finite extension
by
pahio
26.
divisors in base field and finite extension field
by
pahio
27.
domain
by
drini
28.
Eisenstein criterion in terms of divisor theory
by
pahio
29.
equivalent characterizations of Dedekind domains
by
gel
30.
equivalent definitions for UFD
by
joking
31.
Euclidean domain
by
yark
32.
Euclidean valuation
by
Wkbj79
33.
every PID is a UFD
by
rm50
34.
example of an infinite field of finite characteristic
by
vitriol
35.
examples of fields
by
AxelBoldt
36.
examples of integrally closed extensions
by
rm50
37.
examples of semiprimitive rings
by
yark
38.
exponent valuation
by
pahio
39.
extension by localization
by
pahio
40.
field adjunction
by
pahio
41.
finitely generated torsion-free modules over Pr\"ufer domains
by
gel
42.
formal power series
by
AxelBoldt
43.
fraction field
by
djao
44.
fractional ideal
by
djao
45.
free modules over a ring which is not a PID
by
joking
46.
functor
by
nerdy2
47.
fundamental theorem of arithmetic, proof of the
by
mps
48.
Gauss's lemma I
by
bshanks
49.
gcd domain
by
CWoo
50.
greatest common divisor
by
CWoo
51.
half-factorial ring
by
pahio
52.
hereditary ring
by
CWoo
53.
homogeneous polynomial
by
CWoo
54.
idempotent classifications
by
Algeboy
55.
image ideal of divisor
by
pahio
56.
implications of having divisor theory
by
pahio
57.
inertial degree
by
djao
58.
integer
by
CWoo
59.
integral closures in separable extensions are finitely generated
by
rm50
60.
integral element
by
pahio
61.
integrally closed
by
rmilson
62.
inverse image of a morphism
by
CWoo
63.
invertible ideals are projective
by
gel
64.
irreducible
by
drini
65.
Jaffard ring
by
mathcam
66.
Krull intersection theorem
by
mathcam
67.
Krull valuation domain
by
pahio
68.
lamellar field
by
pahio
69.
large ideal
by
jocaps
70.
localizations of Dedekind domains are Dedekind
by
gel
71.
Marot ring
by
PrimeFan
72.
motivation for Euclidean domains
by
Wkbj79
73.
Nagao's theorem
by
bwebste
74.
ordered integral domain with well-ordered positive elements
by
Wkbj79
75.
orders of elements in integral domain
by
pahio
76.
Ore domain
by
antizeus
77.
PID
by
mps
78.
polynomial function
by
pahio
79.
polynomial ring over a field
by
pahio
80.
polynomial ring over integral domain
by
pahio
81.
polynomial ring which is PID
by
pahio
82.
prime element is irreducible in integral domain
by
me_and
83.
prime ideal
by
djao
84.
prime ideal factorization is unique
by
gel
85.
prime ring
by
Wkbj79
86.
principal ideal ring
by
Wkbj79
87.
product of categories
by
CWoo
88.
proof of Bezout's Theorem
by
Thomas Heye
89.
proof of Cayley-Hamilton theorem by formal substitutions
by
asteroid
90.
proof of finite inseparable extensions of Dedekind domains are Dedekind
by
gel
91.
proof of finite separable extensions of Dedekind domains are Dedekind
by
gel
92.
proof of invertible ideals are projective
by
gel
93.
proof of localizations of Dedekind domains are Dedekind
by
gel
94.
proof that a domain is Dedekind if its ideals are invertible
by
gel
95.
proof that a domain is Dedekind if its ideals are products of maximals
by
gel
96.
proof that a domain is Dedekind if its ideals are products of primes
by
gel
97.
proof that a Noetherian domain is Dedekind if it is locally a PID
by
gel
98.
properties of a gcd domain
by
CWoo
99.
Pr\"ufer domain
by
mathcam
100.
Pr\"ufer ring
by
pahio
101.
quotient ring modulo prime ideal
by
pahio
102.
real ring
by
jocaps
103.
reduced ring
by
CWoo
104.
reflective subcategory
by
CWoo
105.
ring hierarchy
by
Algeboy
106.
ring of exponent
by
pahio
107.
ring without irreducibles
by
pahio
108.
saturated
by
drini
109.
Schreier domain
by
CWoo
110.
semihereditary ring
by
CWoo
111.
sheaf of meromorphic functions
by
archibal
112.
simple field extension
by
pahio
113.
symmetric power
by
jirka
114.
theory of algebraic and transcendental numbers
by
alozano
115.
topics on ideals
by
pahio
116.
total integral closure
by
jocaps
117.
total ring of fractions
by
pahio
118.
types of homomorphisms
by
rspuzio
119.
UFD
by
drini
120.
valuation domain
by
mathcam
121.
vector spaces are isomorphic iff their bases are equipollent
by
CWoo
122.
Weyl chamber
by
rmilson
123.
zero ideal
by
pahio
124.
zero rule of product
by
pahio
125.
zero sequence
by
pahio