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.

• Triangular Orthobicupola
• Triangular Pyramid
• Triangular Square Number
• Triangular Symmetry Group
• Triangulation
• Triaugmented Dodecahedron
• Triaugmented Hexagonal Prism
• Triaugmented Triangular Prism
• Triaugmented Truncated Dodecahedron
• Triaxial Ellipsoid
• Tribar
• Tribonacci Number
• Tribox
• Trichotomy Law
• Tricolorable
• Tricomi Function
• Tricuspoid
• Tricylinder
• Tridecagon
• Trident
• Trident of Descartes
• Trident of Newton
• Tridiagonal Matrix
• Tridiminished Icosahedron
• Tridiminished Rhombicosidodecahedron