Category:Commutative algebra
In mathematics, commutative algebra is the area of abstract algebra dealing with commutative rings and commutative modules and algebras over commutative rings. It is essential to the study of algebraic geometry and algebraic number theory.
Wikimedia Commons has media related to Commutative algebra.
Subcategories
This category has the following 3 subcategories, out of 3 total.
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Pages in category "Commutative algebra"
The following 181 pages are in this category, out of 181 total.
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A
- Abhyankar's inequality
- Acceptable ring
- Almost ring
- Analytically irreducible ring
- Analytically normal ring
- Analytically unramified ring
- André–Quillen cohomology
- Arf ring
- Artin approximation theorem
- Artin–Rees lemma
- Artin–Tate lemma
- Artinian ideal
- Ascending chain condition
- Associated prime
- Atomic domain
- Auslander–Buchsbaum formula
- Auslander–Buchsbaum theorem
C
- Catenary ring
- Change of rings
- Chinese remainder theorem
- Cluster algebra
- Cohen ring
- Cohen structure theorem
- Cohen–Macaulay ring
- Combinatorial commutative algebra
- Commutative ring
- Complete intersection
- Complete intersection ring
- Completion of a ring
- Conductor (ring theory)
- Congruence ideal
- Connected ring
- Constructible topology
D
F
G
H
I
- I-adic topology
- Ideal (ring theory)
- Ideal norm
- Ideal reduction
- Ideal theory
- Integer-valued polynomial
- Integral closure of an ideal
- Integral domain
- Integral element
- Integrally closed domain
- Introduction to Commutative Algebra
- Invariant basis number
- Invariant polynomial
- Invertible module
- Irreducible ring
- Irrelevant ideal
K
L
M
N
P
S
T
W
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