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Gröbner bases for syzygy modules of border bases

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Publication:5420671
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DOI10.1142/S0219498814500030zbMath1328.13039MaRDI QIDQ5420671

Markus Kriegl, Martin Kreuzer

Publication date: 13 June 2014

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)


zbMATH Keywords

Gröbner basissyzygy moduleborder basis


Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Parametrization (Chow and Hilbert schemes) (14C05) Syzygies, resolutions, complexes and commutative rings (13D02) Deformations and infinitesimal methods in commutative ring theory (13D10)


Related Items (1)

Computing coupled border bases



Cites Work

  • Unnamed Item
  • Computing border bases
  • An elementary construction of the multigraded Hilbert scheme of points
  • Classification of compatible module orderings
  • Bruno Buchberger's PhD thesis 1965: An algorithm for finding the basis elements of the residue class ring of a zero dimensional polynomial ideal. Translation from the German
  • From Oil Fields to Hilbert Schemes


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