Bounds in polynomial rings over Artinian local rings

DOI10.1007/s00605-006-0439-zzbMath1111.13014OpenAlexW2159543967MaRDI QIDQ883126

Hans Schoutens

Publication date: 31 May 2007

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-006-0439-z

Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Cites Work

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• Invariants for finitary isomorphisms with finite expected code lengths
• Completions, valuations and ultrapowers of Noetherian domains
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• Lefschetz extensions, tight closure and big Cohen-Macaulay algebras
• Bounds and definability in polynomial rings
• Bounds and definablity over fields.
• Existentially closed models of the theory of artinian local rings
• Ideal membership in polynomial rings over the integers
• Projective Dimension and the Singular Locus
• Local Rings of High Embedding Dimension

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