Commutative Rings whose Finitely Generated Modules Decompose

Willy Brandal (auth.)9780387095073, 0-387-09507-1

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Table of contents :
Introduction….Pages 3-8
Linearly compact modules and almost maximal rings….Pages 9-13
h-Local domains….Pages 14-22
Valuation rings and Bezout rings….Pages 23-28
Basic facts about FGC rings and the local case….Pages 29-36
Further facts about FGC rings and Torch rings….Pages 37-43
The Zariski and Patch topologies of the spectrum of a ring….Pages 44-48
The Stone-Cech compactification of N….Pages 49-57
Relating topology to the decomposition of modules….Pages 58-63
The main theorem….Pages 64-71
Valuations….Pages 72-81
Long power series rings….Pages 82-87
Maximally complete valuation domains….Pages 88-96
Examples of maximal valuation rings….Pages 97-97
Examples of almost maximal Bezout domains….Pages 98-107
Examples of Torch rings….Pages 108-109