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.
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Subcategories
This category has the following 3 subcategories, out of 3 total.
Pages in category "Commutative algebra"
The following 182 pages are in this category, out of 182 total. This list may not reflect recent changes.
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
- Template:Commutative local ring classes
- Commutative ring
- Template:Commutative ring classes
- Complete intersection
- Complete intersection ring
- Completion of a ring
- Conductor (ring theory)
- Congruence ideal
- Connected ring
- Constructible topology
D
- Dedekind domain
- Depth (ring theory)
- Deviation of a local ring
- Difference of two squares
- Differential calculus over commutative algebras
- Differential graded algebra
- Dimension theory (algebra)
- Discrete valuation
- Discrete valuation ring
- Divided domain
- Divided power structure
- Dual number
- Dualizing module
F
G
H
- Hahn series
- Hausdorff completion
- Hensel's lemma
- Henselian ring
- Hilbert series and Hilbert polynomial
- Hilbert–Burch theorem
- Hilbert–Poincaré series
- Hilbert–Samuel function
- Hilbert's basis theorem
- Hilbert's syzygy theorem
- Hironaka decomposition
- Hodge algebra
- Homological conjectures in commutative algebra
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
- Irreducible ring
- Irrelevant ideal