On generating sets and gröbner bases for polynomial ideals

DOI10.1080/00927879208824462zbMath0761.13014OpenAlexW1984669544MaRDI QIDQ4013442

Frank Curtis, Henrik Bresinsky

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1080/00927879208824462

zbMATH Keywords

Gröbner basesfinimal generating sets of polynomial ideals

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings and modules of finite generation or presentation; number of generators (13E15)

Related Items (2)

Monomial curves and schemes supported on lines ⋮ Quasi-complete intersections of monomial curves in projective three-space

Cites Work

• Monomial Buchsbaum ideals in \({\mathbb{P}}^ r\)
• Über B. Buchbergers Verfahren, Systeme algebraischer Gleichungen zu lösen
• On generating sets of minimal length for polynomial ideals
• Generators and relations of abelian semigroups and semigroup rings
• Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems

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