Integral domains inside Noetherian power series rings : constructions and examples / William Heinzer, Christel Rotthaus, Sylvia Wiegand.
By: Heinzer, William J [author.].
Contributor(s): Rotthaus, Christel [author.] | Wiegand, Sylvia [author.].
Material type:![Text](/opac-tmpl/lib/famfamfam/BK.png)
Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|
Book | Chennai Mathematical Institute General Stacks | 512.44 HEI (Browse shelf) | Available | 11067 |
Formerly CIP. Uk
Includes bibliographical references (pages 407-415) and index.
Tools -- More tools -- First examples of the construction -- The inclusion construction -- Flatness and the Noetherian property -- The flat locus of an extension of polynomial rings -- Excellent rings and formal fibers -- Height-one prime ideals and weak flatness -- Insider Construction details -- Integral closure under extension to the completion -- Iterative examples -- Approximating discrete valuation rings by regular local rings -- Non-Noetherian examples of dimension 3 -- Noetherian properties of non-Noetherian rings -- Non-Noetherian examples in higher dimension -- The Homomorphic Image Construction -- Catenary local rings with geometrically normal formal fibers -- An Ogoma-like examples -- Multi-ideal-adic completions of Noetherian rings -- Noetherian flatness and multi-adic constructions -- Idealwise algebraic independence -- Idealwise algebraic independence II -- Krull domains with Noetherian x-adic completions -- Inclusion Constructions over excellent normal local domains -- Weierstrass techniques for generic fiber rings -- Generic fiber rings of mixed polynomial-power series rings -- Mixed polynomial-power series rings and relations among their spectra -- Extensions of local domains with trivial generic fiber -- Constructions and examples discussed in this book.
Also issued online.