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Ring Theory pp 121–126Cite as

On affine algebras

Part of the Lecture Notes in Mathematics book series (LNM,volume 1197)

Keywords

  • Noetherian Ring
  • Left Module
  • Commutative Subalgebra
  • Hilbert Basis
  • Equivalent Ring

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References

  1. E. Artin and J.T. Tate: A note on finite ring extensions, J. Math. Soc. Japan 3 (1951), 74–77.

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  2. B. Cortzen, L.W. Small and J.T. Stafford: Decomposing overrings, Proc. Amer. Math. Soc. 82 (1981), 28–30.

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  3. D. Eisenbud: Subrings of Artinian and Noetherian rings, Math. Ann. 185 (1970), 247–249.

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  4. E. Formanek and A.V. Jategaonkar: Subrings of Noetherian rings, Proc. Amer. Math. Soc. 46 (1974), 181–186.

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  5. M. Lorenz: Finite normalizing extensions of rings, Math. Z. 176 (1981), 447–484.

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  6. S. Montgomery and L.W. Small: Fixed rings of Noetherian rings, Bull. London Math. Soc. 13 (1981), 33–38.

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© 1986 Springer-Verlag

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Lorenz, M. (1986). On affine algebras. In: van Oystaeyen, F.M.J. (eds) Ring Theory. Lecture Notes in Mathematics, vol 1197. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076319

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  • DOI: https://doi.org/10.1007/BFb0076319

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16496-8

  • Online ISBN: 978-3-540-39833-2

  • eBook Packages: Springer Book Archive