Integral domains inside Noetherian power series rings constructions and examples / William Heinzer, Christel Rotthaus, Sylvia Wiegand.
| Author/creator | Heinzer, William J. |
| Other author | Rotthaus, Christel, 1949- |
| Other author | Wiegand, Sylvia. |
| Format | Electronic |
| Publication Info | Providence, Rhode Island : American Mathematical Society, [2021] |
| Description | xi, 426 pages : illustrations ; 26 cm |
| Supplemental Content | Full text available from eBooks on EBSCOhost |
| Subjects |
| Series | Mathematical surveys and monographs, 0076-5376 ; Volume 259 |
| Contents | 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. |
| Bibliography note | Includes bibliographical references (pages 407-415) and index. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2021021513 |
| ISBN | 9781470466428 (paperback) |
| ISBN | (ebook) |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | Access Content Online | ✔ Available |