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Chapter II: Multiplicative ideal theory

  • Manfred KnebuschEmail author
  • Digen Zhang
Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 1791)

Abstract

  • Summary

  • 1 Multiplicative properties of regular modules

  • 2 Characterizing Prüfer extensions by the behavior of their regular ideals

  • 3 Describing a Prüfer extension by its lattice of regular ideals

  • 4 Tight extensions

  • 5 Distributive submodules

  • 6 Transfer theorems

  • 7 Polars and factors in a Prüfer extension

  • 8 Decomposition of regular modules

  • 9 Prüfer overmodules

  • 10 Bezout extensions

  • 11 The Prüfer extensions of a noetherian ring

  • 12 Invertible hulls for modules over noetherian rings

Mathematics Subject Classification (2000):

primary 13A15 13A18 13F05 secondary 13B02 14A05 14P10 14P05 

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Copyright information

© Springer-Verlag Berlin/Heidelberg 2002

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of RegensburgRegensburgGermany

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