Stability of Gröbner bases

DOI10.1016/0022-4049(88)90018-7zbMath0664.13006OpenAlexW2066332576MaRDI QIDQ1115488

Niels Schwartz

Publication date: 1988

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(88)90018-7

zbMATH Keywords

monomialsHilbert functionHarrison topologyadmissible orderNewton diagramsuniversal Gröbner basis

Mathematics Subject Classification ID

Software, source code, etc. for problems pertaining to commutative algebra (13-04) Polynomial rings and ideals; rings of integer-valued polynomials (13F20)

Related Items

A new class of finitely generated polynomial subalgebras without finite SAGBI bases, A combinatorial result on Gröbner fans with an application to universal Gröbner bases, Covers and fans of polynomial ideals, Stability and Buchberger criterion for standard bases in power series rings, On the number of term orders, A new notion of reduction: Generating universal Gröbner bases of ideals in \(K[x,y\)], Comprehensive Gröbner bases, On the universal Gröbner bases of toric ideals of graphs, Tropical noetherity and Gröbner bases

Cites Work

• New constructive methods in classical ideal theory
• Über B. Buchbergers Verfahren, Systeme algebraischer Gleichungen zu lösen
• Théorème de division et stabilité en géométrie analytique locale
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
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