18 Faktorisierungen in kommutativen Ringen Flashcards

(31 cards)

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3
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Wann nennt man ein Element eiens Rings irreduzibel? Wann prim?

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5
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6
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Wann nennt man einen Integritätsbereich faktoriellen Ring?

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7
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8
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9
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Was versteht man unter eienm notherschen Ring?

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10
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11
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12
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Wann nennt man einen Integritätsbereich einen euklidischen Ring?

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13
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14
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15
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16
Q

Definiere den gemeinsamen Teiler in einem kommutativen Ring!

18
Q

Definiere den ggT in einem kommutativen Ring!

23
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Wann nennt man Elemente eines kommutativen Rings relativ prim (teilerfremd)?

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Wann nennt man ein Element in einem kommutativen Rings **ein Vielfaches** von anderen Elementen?
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Was versteht man unter dem **kgV** von Elementen in einem kommutativen Ring?
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