Commutative rings whose finitely generated modules decompose

書誌事項

Commutative rings whose finitely generated modules decompose

Willy Brandal

(Lecture notes in mathematics, 723)

Springer-Verlag, 1979

  • : Berlin
  • : New York

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注記

Bibliography: p. [110]-112

Includes index

内容説明・目次

巻冊次

: New York ISBN 9780387095073

内容説明

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目次

Intro.- Foreword.- Acknowledgments.- Encyclopedia Entries.- Conclusion.- Appendix.- Index.
巻冊次

: Berlin ISBN 9783540095071

目次

Linearly compact modules and almost maximal rings.- h-Local domains.- Valuation rings and Bezout rings.- Basic facts about FGC rings and the local case.- Further facts about FGC rings and Torch rings.- The Zariski and Patch topologies of the spectrum of a ring.- The Stone-Cech compactification of N.- Relating topology to the decomposition of modules.- The main theorem.- Valuations.- Long power series rings.- Maximally complete valuation domains.- Examples of maximal valuation rings.- Examples of almost maximal Bezout domains.- Examples of Torch rings.

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