< Polynomring < K < Homogenes Polynom < Hyperfläche < Multiplizität
Es sei ein homogenes Polynom vom Grad .
![{\displaystyle {}F\in P=K[X_{1},\ldots ,X_{m}]}](../../../../../../I/db9742fdaa0bca51711c6cffe19f4b0ac86e4478.svg)
Dann ist die Multiplizität von gleich .
![{\displaystyle {}R=K[X_{1},\ldots ,X_{m}]/(F)}](../../../../../../I/f209c632c9b7f46254fd97be4c0422bd5cfcd604.svg)
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