Commutative Rings whose Finitely Generated Modules Decompose (Lecture Notes in Mathematics, 723, Band 723) - Softcover

Brandal, Willy

 
9783540095071: Commutative Rings whose Finitely Generated Modules Decompose (Lecture Notes in Mathematics, 723, Band 723)

Inhaltsangabe

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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9783662199169: Commutative Rings whose Finitely Generated Modules Decompose

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ISBN 10:  3662199165 ISBN 13:  9783662199169
Verlag: Springer, 2014
Softcover