Zeige, dass jeder echte Restklassenring von C [ X ] {\displaystyle {}{\mathbb {C} }[X]} isomorph zu einem Produktring der Form
ist.
![{\displaystyle {}{\mathbb {C} }[X]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c156a1899277cd3bf3b7edc239bc1abafd7339a7)
isomorph
zu einem
Produktring
der Form
![{\displaystyle {\mathbb {C} }\times \cdots \times {\mathbb {C} }\times {\mathbb {C} }[X]/(X^{2})\times \cdots \times {\mathbb {C} }[X]/(X^{2})\times {\mathbb {C} }[X]/(X^{3})\times \cdots \times {\mathbb {C} }[X]/(X^{3})\times \cdots \times {\mathbb {C} }[X]/(X^{m})\times \cdots \times {\mathbb {C} }[X]/(X^{m})}](https://wikimedia.org/api/rest_v1/media/math/render/svg/502a88ba3082f37244501c066fd2bf653f03d293)
