Idealtheorie in Ringbereichen

@article{NoetherIdealtheorieIR,
  title={Idealtheorie in Ringbereichen},
  author={E. Noether},
  journal={Mathematische Annalen},
  volume={83},
  pages={24-66}
}

Paper Mentions

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References

SHOWING 1-6 OF 6 REFERENCES
Über die Teiler der Null und die Zerlegung von Ringen.
E i n l e i t u n g . Seit langem sind in die Arithmetik neben den sogenannten Körpern, in denen alle gewöhnlichen Rechengesetze wie für die rationalen Zahlen gelten, auch verschiedene Bereiche vonExpand
Zur Theorie der moduln und Ideale
Ueber die vollen Invariantensysteme
Meine Abhandlung „ Uber die Theorie der algebraischen Formen“1 enthalt eine Reihe von Theoremen, welche fur die Theorie der algebraischen Invarianten von Bedeutung sind. Insbesondere in Abschnitt VExpand