The Stanley–Reisner Ideals of Polygons as Set-Theoretic Complete Intersections

DOI10.1080/00927871003597634zbMath1213.13005arXiv0909.1900OpenAlexW2963073659MaRDI QIDQ3084568

Naoki Terai, Margherita Barile

Publication date: 25 March 2011

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

Full work available at URL: https://arxiv.org/abs/0909.1900

zbMATH Keywords

monomial idealarithmetical rankset theoretic complete intersection

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Complete intersections (14M10) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (6)

A glimpse to most of the old and new results on very well-covered graphs from the viewpoint of commutative algebra ⋮ On the dimension of dual modules of local cohomology and the Serre's condition for the unmixed Stanley-Reisner ideals of small height ⋮ Arithmetical rank of Gorenstein squarefree monomial ideals of height three ⋮ Arithmetical Rank of Squarefree Monomial Ideals Generated by Five Elements or with Arithmetic Degree Four ⋮ Arithmetical rank of a squarefree monomial ideal whose Alexander dual is of deviation two ⋮ Binomial arithmetical rank of edge ideals of forests

Cites Work

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• A generalization of a lemma by Schmitt and Vogel
• Le formalisme du résultant. (The formalism of resultant)
• Every algebraic set in n-space is the intersection of n hypersurfaces
• Arithmetical Ranks of Stanley–Reisner Ideals of Simplicial Complexes with a Cone
• Arithmetical Ranks of Stanley–Reisner Ideals Via Linear Algebra
• Combinatorics and commutative algebra

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