Effective Cowsik–Nori Theorem for Edge Ideals

DOI10.1080/00927870903114995zbMath1203.13023OpenAlexW2022225911MaRDI QIDQ3057724

Marilena Crupi, Ken-ichi Yoshida, Naoki Terai, Giancarlo Rinaldo

Publication date: 17 November 2010

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

Full work available at URL: https://doi.org/10.1080/00927870903114995

zbMATH Keywords

polarizationcomplete intersectionsimplicial complexCohen-Macaulayedge idealsymbolic powers

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55)

Related Items (5)

On the second powers of Stanley-Reisner ideals ⋮ Cohen-Macaulayness for symbolic power ideals of edge ideals ⋮ Cohen-Macaulayness of large powers of Stanley-Reisner ideals ⋮ Depth and regularity of monomial ideals via polarization and combinatorial optimization ⋮ Cohen–Macaulayness and Limit Behavior of Depth for Powers of Cover Ideals

Cites Work

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• Cohen-Macaulayness of powers of two-dimensional squarefree monomial ideals
• On the ideal theory of graphs
• The stable set of associated primes of the ideal of a graph
• The depth of powers of an ideal
• On the radical of a monomial ideal
• Über vollständige Durchschnitte in lokalen Ringen
• Stanley-Reisner ideals whose powers have finite length cohomologies
• Bounds For Invariants of Edge-Rings

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