Category:Commutative algebra
From HandWiki
Here is a list of articles in the Commutative algebra category of the Computing portal that unifies foundations of mathematics and computations using computers. 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.
Subcategories
This category has the following 2 subcategories, out of 2 total.
I
L
- Localization (mathematics) (12 P)
Pages in category "Commutative algebra"
The following 183 pages are in this category, out of 183 total.
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 exponentiation
- Template:Commutative local ring classes
- Commutative ring
- Template:Commutative ring classes
- Complete intersection
- Complete intersection ring
- Completion (algebra)
- Completion of a ring
- Conductor (ring theory)
- Congruence ideal
- Connected ring
- Constructible topology
D
E
F
G
H
- Hahn series
- Hausdorff completion
- Hensel's lemma
- Henselian ring
- Hilbert series and Hilbert polynomial
- Hilbert's basis theorem
- Hilbert's syzygy theorem
- Hilbert–Burch theorem
- Hilbert–Poincaré series
- Hilbert–Samuel function
- Hironaka decomposition
- Hodge algebra
- Homological conjectures in commutative algebra
I
- Ideal (ring theory)
- Ideal norm
- Ideal reduction
- Ideal theory
- Integer-valued polynomial
- Integral closure of an ideal
- Integral domain
- Integral element
- Integrally closed
- Integrally closed domain
- Introduction to Commutative Algebra
- Invariant basis number
- Invariant polynomial
- Irreducible ring
- Irrelevant ideal
