Representation type of commutative Noetherian rings III : global wildness and tameness

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Representation type of commutative Noetherian rings III : global wildness and tameness

Lee Klingler, Lawrence S. Levy

(Memoirs of the American Mathematical Society, no. 832)

American Mathematical Society, c2005

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注記

"Volume 176, number 832 (end of volume)"

Bibliography: p. 169-170

Includes indexes

内容説明・目次

内容説明

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.)

目次

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.

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