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Definition: Maximal Ideal

An ideal \(I\lhd R\) in a commutative ring \(R\) is called a maximal ideal, if * \(I\neq R\) and * there is no proper superset of \(J\supset I\) and an ideal of $J\lhd R.$

Table of Contents

1. Lemma: Fiber of Maximal Ideals

Mentioned in:

Lemmas: 1
Proofs: 2
Propositions: 3

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References

Adapted from CC BY-SA 3.0 Sources:

1. Brenner, Prof. Dr. rer. nat., Holger: Various courses at the University of Osnabrück