Commutative Rings whose Finitely Generated Modules Decompose [electronic resource] /
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.
Main Authors: | , |
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Format: | Texto biblioteca |
Language: | eng |
Published: |
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,
1979
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Subjects: | Mathematics., Commutative algebra., Commutative rings., Commutative Rings and Algebras., |
Online Access: | http://dx.doi.org/10.1007/BFb0069021 |
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Summary: | 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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