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Definition: Addition of Ideals

Let \(I\lhd R\) and \(J\lhd R\) be two ideals of the ring \(R\). Then the set

\[I+J:=\{i+j~|~i\in I, j\in J\}\] is called the sum of the two ideals.

Mentioned in:

Lemmas: 1
Proofs: 2

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References

Bibliography

  1. Kramer Jürg, von Pippich, Anna-Maria: "Von den natürlichen Zahlen zu den Quaternionen", Springer-Spektrum, 2013