◀ ▲ ▶Branches / Algebra / Definition: Addition of Ideals
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
Thank you to the contributors under CC BYSA 4.0!
 Github:

References
Bibliography
 Kramer Jürg, von Pippich, AnnaMaria: "Von den natürlichen Zahlen zu den Quaternionen", SpringerSpektrum, 2013