Science Fair Project Encyclopedia
List of commutative algebra topics
This is a list of commutative algebra topics, by Wikipedia page.
- commutative ring
- ring ideal, maximal ideal, prime ideal
- ring monomorphism, ring epimorphism, ring isomorphism
- integral domain
- quotient field
- product of rings
- Boolean algebra
- zero divisor
- nilpotent, reduced (ring theory)
- annihilator
- principal ideal domain
- unique factorization domain
- Dedekind domain
- Fractional ideal
- Ideal class group
- Euclidean domain
- integral closure
- Chinese remainder theorem
- radical of an ideal
- Noetherian ring
- Hilbert's basis theorem
- Hilbert's Nullstellensatz
- Krull dimension
- Lasker-Noether theorem
- formal power series
- local ring
- localization of a ring
- localization of a module
- flat module
- flat map
- projective module
- injective module
- regular local ring
- regular sequence (algebra)
- Cohen-Macaulay ring
- Gorenstein ring
- complete intersection ring
- Zariski tangent space
- Kähler differential
- Dual numbers
- Height (ring theory)
- Krull's principal ideal theorem
- Weierstrass preparation theorem
- Quillen-Suslin theorem
- Koszul complex
- tensor product of fields
- tensor product of R-algebras
- Valuation (mathematics)
- I-adic topology
- Spectrum of a ring.
Active research areas
Last updated: 10-13-2005 22:34:36
10-26-2009 08:16:03
The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details
The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details