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Representation Type of Commutative Noetherian Rings III: Global Wildness and Tameness
Lee Klingler, Florida Atlantic University, Boca Raton, FL, and Lawrence S. Levy, Madison, WI
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Memoirs of the American Mathematical Society
2005; 170 pp; softcover
Volume: 176
ISBN-10: 0-8218-3738-9
ISBN-13: 978-0-8218-3738-2
List Price: US$69
Individual Members: US$41.40
Institutional Members: US$55.20
Order Code: MEMO/176/832
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This memoir completes the series of papers beginning with [KL1,KL2], showing that, for a commutative noetherian ring \(\Lambda\), either the category of \(\Lambda\)-modules of finite length has wild representation type or else we can describe the category of finitely generated \(\Lambda\)-modules, including their direct-sum relations and local-global relations. (There is a possible exception to our results, involving characteristic 2.)

Table of Contents

  • Introduction
  • Preliminaries
  • Dedekind-like rings
  • Wildness
  • Structure of a genus
  • Substitute for conductor squares
  • Isomorphism classes in a genus, idèle group action
  • Web of class groups
  • Direct sums
  • Finite normalization
  • Appendix A
  • Appendix B
  • Bibliography
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