Representation Type of Commutative Noetherian Rings III: Global Wildness and Tameness (Memoirs of the American Mathematical Society)

Representation Type of Commutative Noetherian Rings III: Global Wildness and Tameness (Memoirs of the American Mathematical Society)

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Description

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.)

Contents

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

Product Details

  • ISBN13: 9780821837382
  • Format: Paperback
  • ID: 9780821837382
  • ISBN10: 0821837389

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