Asked by
Suresh Kumar
in
Mathematics
at
4:36 PM on November 24, 2008
Ajay Kumar's Answer
Commutative algebra is the branch of abstract algebra that studies commutative rings.
Commutative algebra is the main technical tool in the local study of schemes.
Hilbert introduced a more abstract approach to replace the more concrete and computationally oriented methods grounded in such things as complex analysis and classical invariant theory.
lists of commutative algebra:-
Contents [hide]
1 .Research fields
2 .Basic notions
3 .Classes of rings
4 .Constructions with commutative rings
5 .Localization and completion
6 .Finiteness properties
7 .Ideal theory
8 .Homological properties
9 .Dimension theory
10 .Ring extensions, primary decomposition
11 .Relation with algebraic geometry
12 .Computational and algorithmic aspects
13 .Active research areas
14 .Related disciplines
Answered at
7:54 PM on November 24, 2008
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