W. Brandal

Commutative Rings whose Finitely Generated Modules Decompose

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Lecture Notes in Mathematics 723
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-09507-1
• 1979
• Seitenzahl: 120
• Erscheinungstermin: 1. Juli 1979
• Englisch
• Abmessung: 235mm x 155mm x 7mm
• Gewicht: 214g
• ISBN-13: 9783540095071
• ISBN-10: 3540095071
• Artikelnr.: 23575102

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.