{"product_id":"integral-domains-inside-noetherian-power-series-constructions-and-examples-9781470466428","title":"Integral Domains Inside Noetherian Power Series","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003ePower series provide a technique for constructing examples of commutative rings. In this book, the authors describe this technique and use it to analyse properties of commutative rings and their spectra. This book presents results obtained using this approach.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003eIntroduction\u003c\/li\u003e\n\u003cli\u003e Tools\u003c\/li\u003e\n\u003cli\u003e More tools\u003c\/li\u003e\n\u003cli\u003e First examples of the construction\u003c\/li\u003e\n\u003cli\u003e The Inclusion Construction\u003c\/li\u003e\n\u003cli\u003e Flatness and the Noetherian property\u003c\/li\u003e\n\u003cli\u003e The flat locus of an extension of polynomial rings\u003c\/li\u003e\n\u003cli\u003e Excellent rings and formal fibers\u003c\/li\u003e\n\u003cli\u003e Height-one prime ideals and weak flatness\u003c\/li\u003e\n\u003cli\u003e Insider Construction details\u003c\/li\u003e\n\u003cli\u003e Integral closure under extension to the completion\u003c\/li\u003e\n\u003cli\u003e Iterative examples\u003c\/li\u003e\n\u003cli\u003e Approximating discrete valuation rings by regular local rings\u003c\/li\u003e\n\u003cli\u003e Non-Noetherian examples of dimension 3\u003c\/li\u003e\n\u003cli\u003e Noetherian properties of non-Noetherian rings\u003c\/li\u003e\n\u003cli\u003e Non-Noetherian examples in higher dimension\u003c\/li\u003e\n\u003cli\u003e The Homomorphic Image Construction\u003c\/li\u003e\n\u003cli\u003e Catenary local rings with geometrically normal fibers\u003c\/li\u003e\n\u003cli\u003e An Ogoma-like example\u003c\/li\u003e\n\u003cli\u003e Multi-ideal-adic completions of Noetherian rings\u003c\/li\u003e\n\u003cli\u003e Noetherian flatness and multi-adic constructions\u003c\/li\u003e\n\u003cli\u003e Idealwise algebraic independence\u003c\/li\u003e\n\u003cli\u003e Idealwise algebraic independence II\u003c\/li\u003e\n\u003cli\u003e Krull domains with Noetherian $x$-adic completions\u003c\/li\u003e\n\u003cli\u003e Inclusion Constructions over excellent normal local domains\u003c\/li\u003e\n\u003cli\u003e Wierstrass techniques for generic fiber rings\u003c\/li\u003e\n\u003cli\u003e Generic fiber rings of mixed polynomial-power series rings\u003c\/li\u003e\n\u003cli\u003e Mixed polynomial-power series rings and relations among their spectra\u003c\/li\u003e\n\u003cli\u003e Extensions of local domains with trivial generic fiber\u003c\/li\u003e\n\u003cli\u003e Constructions and examples discussed in this book\u003c\/li\u003e\n\u003cli\u003e Bibliography\u003c\/li\u003e\n\u003cli\u003e Index\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"MP-AMM American Mathematical","offers":[{"title":"Default Title","offer_id":50041339445591,"sku":"9781470466428","price":98.1,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781470466428.jpg?v=1740182822","url":"https:\/\/bookcurl.com\/products\/integral-domains-inside-noetherian-power-series-constructions-and-examples-9781470466428","provider":"Book Curl","version":"1.0","type":"link"}