Constructing local generic formal fibers

DOI10.1006/jabr.1997.6768zbMath0907.13013OpenAlexW2032061022MaRDI QIDQ1355642

Susan Loepp

Publication date: 27 May 1997

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1997.6768

zbMATH Keywords

completionunique factorization domaingeneric formal fiber

Mathematics Subject Classification ID

Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Extension theory of commutative rings (13B02) Complete rings, completion (13J10)

Related Items (16)

CONSTRUCTING CHAINS OF EXCELLENT RINGS WITH LOCAL GENERIC FORMAL FIBERS ⋮ Semilocal generic formal fibers ⋮ A class of local noetherian domains ⋮ Noetherian rings between a semilocal domain and its completion ⋮ Are complete intersections complete intersections? ⋮ Completions of countable excellent domains and countable noncatenary domains ⋮ Characterization of completions of noncatenary local domains and noncatenary local UFDs ⋮ Completely controlling the dimensions of formal fiber rings at prime ideals of small height ⋮ Generic fiber rings of mixed power series/polynomial rings ⋮ Tight closure in non-excellent rings ⋮ Some results on tight closure and completion ⋮ Constructing Almost Excellent Unique Factorization Domains ⋮ Almost excellent unique factorization domains ⋮ Excellent rings with local generic formal fibers ⋮ Maximal chains of prime ideals of different lengths in unique factorization domains ⋮ Dimensions of Formal Fibers of Height One Prime Ideals

Cites Work

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• On rings with low dimensional formal fibres
• Completions of local rings with an isolated singularity
• Formal fibers and birational extensions
• Characterization of Completions of Unique Factorization Domains

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