Commutative rings whose finitely generated modules decompose
著者
書誌事項
Commutative rings whose finitely generated modules decompose
(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
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: 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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