Noether-Lasker Theorem

Let be a finitely generated Module over a commutative Noetherian Ring . Then there exists afinite set of submodules of such that

1. and is not contained in for all .

2. Each quotient is primary for some prime .

3. The are all distinct for .

4. Uniqueness of the primary component is equivalent to the statement that does not contain for any.

• Combination Lock
• Combinatorial Species
• Combinatorial Topology
• Combinatorics
• Comma Derivative
• Comma of Didymus
• Comma of Pythagoras
• Common Cycloid
• Common Residue
• Commutation Coefficient
• Commutative
• Commutative Algebra
• Commutator
• Compact Group
• Compact Manifold
• Compactness Theorem
• Compact Set
• Compact Space
• Compact Surface
• Companion Knot
• Comparability Graph
• Comparison Test
• Compass
• Compatible
• Complementary Angle