A generalization of a lemma by Schmitt and Vogel

DOI10.3836/tjm/1264170241zbMath1200.13002OpenAlexW2089432074WikidataQ124970009 ScholiaQ124970009MaRDI QIDQ981922

Margherita Barile

Publication date: 9 July 2010

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1264170241

zbMATH Keywords

monomial idealsset-theoretic complete intersectionsarithmetical rank

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 (7)

ARITHMETICAL RANK OF THE CYCLIC AND BICYCLIC GRAPHS ⋮ Modules whose finiteness dimensions coincide with their cohomological dimensions ⋮ Upper bounds for the arithmetical ranks of monomial ideals ⋮ Schmitt-Vogel type lemma for reductions ⋮ Arithmetical Ranks of Stanley–Reisner Ideals of Simplicial Complexes with a Cone ⋮ The Stanley–Reisner Ideals of Polygons as Set-Theoretic Complete Intersections ⋮ Cohomological dimension and relative Cohen-Maculayness

Cites Work

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• On set-theoretic intersections and connectedness of algebraic varieties in \(\mathbb P^n\)
• Note on set-theoretic intersections of subvarieties of projective space
• On the Arithmetical Rank of an Intersection of Ideals
• Über den arithmetischen Rang quadratfreier Potenzproduktideale
• Arithmetical Ranks of Stanley–Reisner Ideals Via Linear Algebra
• On set-theoretic intersections

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