Formal fibers and birational extensions

DOI10.1017/S0027763000004529zbMath0779.13003MaRDI QIDQ4271307

Christel Rotthaus, Judith D. Sally, William J. Heinzer

Publication date: 1 December 1993

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

birational extensionsNoetheriannesslocal Noetherian domaingeneric formal fiber

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Extension theory of commutative rings (13B02) Local rings and semilocal rings (13H99)

Related Items (17)

Generic formal fibers of polynomial ring extensions ⋮ On the completeness of factor rings ⋮ Constructing local generic formal fibers ⋮ One-dimensional bad Noetherian domains ⋮ Noetherian rings between a semilocal domain and its completion ⋮ Prescribed subintegral extensions of local Noetherian domains ⋮ A counterpart to Nagata idealization ⋮ Finite factorization domains ⋮ The maximal dimension of formal fibers of local rings of an algebraic scheme of finite type ⋮ Formal Fibers and Complete Homomorphic Images ⋮ Affine schemes and topological closures in the Zariski-Riemann space of valuation rings ⋮ Generic fiber rings of mixed power series/polynomial rings ⋮ On the condition Going up for \({R \subset \hat{R}}\) ⋮ Excellent rings with local generic formal fibers ⋮ Generic formal fibers and analytically ramified stable rings ⋮ Etaleness and normality ⋮ Approximating discrete valuation rings by regular local rings

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• On the number of minimal prime ideals in the completion of a local domain
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• Komplettierung semilokaler quasiausgezeichneter Ringe

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