Memoirs of the American Mathematical Society 2005; 170 pp; softcover Volume: 176 ISBN10: 0821837389 ISBN13: 9780821837382 List Price: US$69 Individual Members: US$41.40 Institutional Members: US$55.20 Order Code: MEMO/176/832
 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 directsum relations and localglobal relations. (There is a possible exception to our results, involving characteristic 2.) Table of Contents  Introduction
 Preliminaries
 Dedekindlike 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
