◀ ▲ ▶Branches / Algebra / Lemma: Onetoone Correspondence of Ideals in the Factor Ring and a Commutative Ring
Lemma: Onetoone Correspondence of Ideals in the Factor Ring and a Commutative Ring
Let \(R\) be a commutative ring and let \(I\) be an ideal of the ring \(S=R/I\) being the resulting factor ring. Then there is a onetoone correspondence of ideals of \(S\) and those of \(R\), which contain \(I\).
Table of Contents
Proofs: 1
Mentioned in:
Proofs: 1
Thank you to the contributors under CC BYSA 4.0!
 Github:

 nonGithub:
 @Brenner
References
Adapted from CC BYSA 3.0 Sources:
 Brenner, Prof. Dr. rer. nat., Holger: Various courses at the University of OsnabrÃ¼ck