Category:Commutative Algebra
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This category contains results about Commutative Algebra.
Definitions specific to this category can be found in Definitions/Commutative Algebra.
Commutative algebra is the branch of abstract algebra concerned with commutative and unitary rings.
Subcategories
This category has the following 16 subcategories, out of 16 total.
A
C
D
- Dedekind Domains (2 P)
E
F
I
- Integral Elements (1 P)
- Integral Ring Extensions (3 P)
L
- Local Ring Homomorphisms (1 P)
N
- Noetherian Rings (4 P)
P
- Primary Ideals (4 P)
R
T
- Transitivity of Integrality (2 P)
Pages in category "Commutative Algebra"
The following 50 pages are in this category, out of 50 total.
C
- Cayley-Hamilton Theorem
- Cayley-Hamilton Theorem/Finitely Generated Modules
- Characterisation of Jacobson Radical
- Chinese Remainder Theorem (Commutative Algebra)
- Chinese Remainder Theorem/Corollary
- Commutative and Unitary Ring with 2 Ideals is Field
- Contraction of Extension of Contraction of Ideal is Contraction
E
H
I
- Ideal Contains Extension of Contraction
- Ideal is Contained in Contraction of Extension
- Ideal is Unit Ideal iff Includes Unity
- Ideal Quotient is Ideal
- Ideals of Field
- Injective Module over Dedekind Domain
- Injective Module over Principal Ideal Domain
- Integers form Commutative Ring with Unity
- Integral Closure is Integrally Closed
- Integral Closure is Subring
- Inverse of Division Product