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Rings of global dimension two

Part of the Lecture Notes in Mathematics book series (LNM,volume 311)

Abstract

This paper gives a change of rings theorem for homological dimensions which seems especially suited for the study of the commutative rings of global dimension two. Elsewhere we gave a description of the local rings of global dimension two that when applied to the global case yields an idea of what the spectrum of such rings look like "down" from a maximal ideal. Here an attempt is made to describe the spectrum "up" from a minimal prime ideal.

Keywords

  • Prime Ideal
  • Spectral Sequence
  • Local Ring
  • Maximal Ideal
  • Commutative Ring

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Partially supported by National Science Foundation Grant GP-19995.

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© 1973 Springer-Verlag

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Vasconcelos, W.V. (1973). Rings of global dimension two. In: Brewer, J.W., Rutter, E.A. (eds) Conference on Commutative Algebra. Lecture Notes in Mathematics, vol 311. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068933

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  • DOI: https://doi.org/10.1007/BFb0068933

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06140-3

  • Online ISBN: 978-3-540-38340-6

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