Commutative Rings whose Finitely Generated Modules Decompose
Brandal, Willy.
Commutative Rings whose Finitely Generated Modules Decompose [electronic resource] / by Willy Brandal. - IV, 116 p. online resource. - Lecture Notes in Mathematics, 723 0075-8434 ; . - Lecture Notes in Mathematics, 723 .
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.
9783540351818
10.1007/BFb0069021 doi
Algebra.
Commutative Rings and Algebras.
QA251.3
512.44
Commutative Rings whose Finitely Generated Modules Decompose [electronic resource] / by Willy Brandal. - IV, 116 p. online resource. - Lecture Notes in Mathematics, 723 0075-8434 ; . - Lecture Notes in Mathematics, 723 .
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.
9783540351818
10.1007/BFb0069021 doi
Algebra.
Commutative Rings and Algebras.
QA251.3
512.44