Monomial Gorenstein ideals

DOI10.1007/BF01303625zbMath0438.13013MaRDI QIDQ5904426

Henrik Bresinsky

Publication date: 1979

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154658

zbMATH Keywords

polynomial ringmonomial curvesemigroups of integersgenerating sets for monomial Gorenstein ideals

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Singularities in algebraic geometry (14B05) Free semigroups, generators and relations, word problems (20M05) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15)

Related Items (4)

Affine monomial curves ⋮ Symmetric (Not Complete Intersection) Semigroups Generated by Six Elements ⋮ Gaps in nonsymmetric numerical semigroups. ⋮ Symmetric (not Complete Intersection) Numerical Semigroups Generated by Six Elements

Cites Work

• Symmetric semigroups of integers generated by 4 elements
• Almost complete intersections are not Gorenstein rings
• Generators and relations of abelian semigroups and semigroup rings
• On Prime Ideals with Generic Zero x i = t n i
• Semigroups Corresponding to Algebroid Branches in the Plane
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