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About
References to 'commutative ring'
1.
$V(I)=\emptyset$ implies $I=R$
by
Wkbj79
2.
${\mathbb{Z}}_n$
by
Wkbj79
3.
a polynomial of degree $n$ over a field has at most $n$ roots
by
alozano
4.
absolutely flat
by
mathcam
5.
adjoint functor
by
mps
6.
algebra (module)
by
mathcam
7.
algebraic independence of elementary symmetric polynomials
by
mclase
8.
algebraic number theory
by
alozano
9.
algebroid structures and extended symmetries
by
bci1
10.
arithmetic function
by
mathcam
11.
arithmetic functions form a ring
by
rm50
12.
arithmetic-geometric series
by
perucho
13.
arithmetical ring
by
PrimeFan
14.
balanced category
by
CWoo
15.
bilinear map
by
yark
16.
bilinearity and commutative rings
by
Algeboy
17.
Boolean lattice
by
mathcam
18.
Boolean ring
by
yark
19.
bound on the Krull dimension of polynomial rings
by
mathcam
20.
cancellation ideal
by
pahio
21.
categorical quantum logics as quantum LM-algebraic logic
by
bci1
22.
category of fractions
by
CWoo
23.
Cayley-Dickson construction
by
CWoo
24.
centralizers in algebra
by
Algeboy
25.
characetrization of primary ideals
by
joking
26.
characterisation
by
pahio
27.
characterization of field
by
alozano
28.
characterization of prime ideals
by
GrafZahl
29.
Chinese remainder theorem
by
bwebste
30.
cofactor expansion
by
rmilson
31.
Cohen-Macaulay module
by
mathcam
32.
complete ring of quotients
by
jocaps
33.
complete ring of quotients of reduced commutative rings
by
jocaps
34.
cup product
by
whm22
35.
Dedekind domains with finitely many primes are PIDs
by
gel
36.
Dedekind-finite
by
CWoo
37.
definition of prime ideal by Artin
by
pahio
38.
dense ideal
by
jocaps
39.
derivation
by
djao
40.
derivative of polynomial
by
pahio
41.
determinant
by
rmilson
42.
determinant of the Vandermonde matrix
by
GeraW
43.
difference of squares
by
pahio
44.
differential graded algebra
by
CWoo
45.
divisibility by product
by
pahio
46.
divisibility in rings
by
pahio
47.
dual of a coalgebra is an algebra, the
by
mps
48.
dual space
by
Daume
49.
elementary matrix
by
CWoo
50.
entries on finitely generated ideals
by
pahio
51.
epimorphic hull
by
jocaps
52.
equational class
by
CWoo
53.
essential monomorphism
by
jocaps
54.
evaluation homomorphism
by
mathcam
55.
every prime ideal is radical
by
alozano
56.
examples of compact spaces
by
yark
57.
examples of epis
by
CWoo
58.
examples of groups
by
AxelBoldt
59.
examples of radicals of ideals in commutative rings
by
joking
60.
extension by localization
by
pahio
61.
exterior algebra
by
rmilson
62.
faithfully flat
by
mathcam
63.
field
by
djao
64.
finite ring has no proper overrings
by
pahio
65.
finitely generated module
by
Thomas Heye
66.
formal power series
by
AxelBoldt
67.
formal power series as inverse limits
by
rspuzio
68.
fractional ideal of commutative ring
by
pahio
69.
free module
by
mathcam
70.
free modules over a ring which is not a PID
by
joking
71.
gcd domain
by
CWoo
72.
general linear group scheme
by
alozano
73.
generators of inverse ideal
by
pahio
74.
greatest common divisor
by
CWoo
75.
group of units
by
pahio
76.
height of a prime ideal
by
CWoo
77.
Heisenberg algebra
by
GrafZahl
78.
ideal
by
djao
79.
ideal included in union of prime ideals
by
polarbear
80.
ideals contained in a union of ideals
by
joking
81.
ideals contained in a union of radical ideals
by
joking
82.
ideals with maximal radicals are primary
by
joking
83.
If $A \in M_n(R)$ and $A$ is supertriangular then $A^n=0$
by
Daume
84.
integrally closed
by
rmilson
85.
invertibility of regularly generated ideal
by
pahio
86.
invertible ideal is finitely generated
by
pahio
87.
invertible ideals in semi-local rings
by
gel
88.
Jordan algebra
by
CWoo
89.
Koethe conjecture
by
mclase
90.
Lagrange's identity
by
mathcam
91.
least common multiple
by
pahio
92.
Lie algebra cohomology
by
rmilson
93.
Lie algebras from other algebras
by
Algeboy
94.
linear extension
by
GrafZahl
95.
linearization
by
CWoo
96.
local ring
by
djao
97.
localization
by
djao
98.
localization of a module
by
CWoo
99.
long division
by
alozano
100.
Marot ring
by
PrimeFan
101.
matrix inverse
by
akrowne
102.
maximal ideal is prime
by
pahio
103.
motivation for Euclidean domains
by
Wkbj79
104.
multiplication ring
by
PrimeFan
105.
multiplication rule gives inverse ideal
by
pahio
106.
multiplicative filter
by
jocaps
107.
multiplicative sets in rings and prime ideals
by
joking
108.
multiplicatively closed
by
CWoo
109.
Nakayama's lemma
by
n3o
110.
Newtonian coalgebra
by
mps
111.
nilradical
by
djao
112.
non-commutative rings of order four
by
Wkbj79
113.
norm-Euclidean number field
by
pahio
114.
opposite ring
by
antizeus
115.
ordered ring
by
djao
116.
orders of elements in integral domain
by
pahio
117.
overring
by
pahio
118.
p-ring
by
alozano
119.
pairwise comaximal ideals property
by
polarbear
120.
permanent
by
marijke
121.
Poisson ring
by
rspuzio
122.
polynomial function
by
pahio
123.
polynomial identity algebra
by
CWoo
124.
positive cone
by
CWoo
125.
primal element
by
CWoo
126.
primary decomposition
by
mathcam
127.
primary decomposition theorem
by
CWoo
128.
primary ideal
by
mathcam
129.
prime ideals by Artin are prime ideals
by
pahio
130.
prime spectrum
by
CWoo
131.
principal ideal
by
djao
132.
principal ideal ring
by
Wkbj79
133.
product of finitely generated ideals
by
pahio
134.
proof of Cayley-Hamilton theorem by formal substitutions
by
asteroid
135.
proof of Cayley-Hamilton theorem in a commutative ring
by
Mathprof
136.
proof of factor theorem using division
by
alozano
137.
proof of long division
by
Thomas Heye
138.
proper generator theorem
by
bci1
139.
Pr\"ufer ring
by
pahio
140.
pure subgroup
by
CWoo
141.
quadratic algebra
by
CWoo
142.
quadratic form
by
CWoo
143.
quadratic Jordan algebra
by
Algeboy
144.
quadratic map
by
Algeboy
145.
quantale
by
CWoo
146.
quotient of ideals
by
pahio
147.
quotient ring modulo prime ideal
by
pahio
148.
R-category
by
bci1
149.
radical of an ideal
by
CWoo
150.
regular ideal
by
pahio
151.
resultant
by
Mathprof
152.
ring adjunction
by
pahio
153.
ring hierarchy
by
Algeboy
154.
ring of continuous functions
by
CWoo
155.
ringed space
by
Mathprof
156.
rules of calculus for derivative of formal power series
by
rspuzio
157.
rules of calculus for derivative of polynomial
by
rspuzio
158.
scheme
by
djao
159.
sheaf
by
djao
160.
simple ring
by
antizeus
161.
standard identity
by
CWoo
162.
strict divisibility
by
pahio
163.
subcategory
by
CWoo
164.
supercommutative
by
rmilson
165.
symmetric algebra
by
CWoo
166.
symmetric multilinear function
by
Mathprof
167.
T-ideal
by
CWoo
168.
tensor algebra
by
rmilson
169.
tensor product
by
rmilson
170.
tensor product basis
by
lars_h
171.
tensor product of algebras
by
CWoo
172.
tensor product of chain complexes
by
Mazzu
173.
the set of prime ideals of a commutative ring with identity
by
bwebste
174.
topic entry on axioms and foundations of homology and cohomology theories
by
bci1
175.
torsion element
by
mathcam
176.
total integral closure
by
jocaps
177.
total ring of fractions
by
pahio
178.
translation automorphism of a polynomial ring
by
archibal
179.
unimodular
by
whm22
180.
unimodular matrix
by
CWoo
181.
universal derivation
by
pbruin
182.
weakest extension of a partial ordering
by
jocaps
183.
Witt vectors
by
alozano
184.
Zariski lemma
by
polarbear
185.
zero of polynomial
by
pahio