Defining ideals of cohen-macaulay semigroup rings

DOI10.1080/00927879208824510zbMath0815.13013OpenAlexW2002016016MaRDI QIDQ4029256

Yuuji Kamoi

Publication date: 10 March 1993

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

Full work available at URL: https://doi.org/10.1080/00927879208824510

zbMATH Keywords

Gröbner basissemigroup ringCohen-Macaulay propertycoordinate rings of monomial curvesdeterminantal ideal.simplicial semigroup

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Polynomials over commutative rings (13B25) Semigroup rings, multiplicative semigroups of rings (20M25) Cohen-Macaulay modules (13C14)

Related Items (8)

Minimal systems of generators for ideals of semigroups ⋮ The fiber cone of a monomial ideal in two variables ⋮ On the Cohen-Macaulay property of A[pt, p⁽²⁾t² for space monomial curves] ⋮ Cohen-Macaulay criteria for projective monomial curves via Gröbner bases ⋮ On Cohen-Macaulay and Gorenstein simplicial affine semigroups ⋮ Defining ideals of semigroup rings which are gorenstein ⋮ On free affine semigroups ⋮ On The structure of cohen-macaulay simplical affine semigroups

Cites Work

• Minimal free resolutions of monomial curves in \({\mathbb{P}}^ 3_ k\)
• Generators and relations of abelian semigroups and semigroup rings

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