Hilbert Function of Binomial Edge Ideals

DOI10.1080/00927872.2012.721037zbMath1296.13015OpenAlexW2050350262MaRDI QIDQ5409810

Fatemeh Mohammadi, Leila Sharifan

Publication date: 14 April 2014

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.721037

zbMATH Keywords

Cohen-Macaulay ringsHilbert functionbinomial edge ideals

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Ideals and multiplicative ideal theory in commutative rings (13A15) Cohen-Macaulay modules (13C14) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Combinatorial aspects of commutative algebra (05E40)

Related Items (14)

Prime splittings of determinantal ideals ⋮ Local cohomology of binomial edge ideals and their generic initial ideals ⋮ The Castelnuovo-Mumford regularity of binomial edge ideals ⋮ Regularity of powers of (parity) binomial edge ideals ⋮ Regularity of powers of quadratic sequences with applications to binomial ideals ⋮ Lovász-Saks-Schrijver ideals and parity binomial edge ideals of graphs ⋮ Binomial edge ideals with pure resolutions ⋮ Almost complete intersection binomial edge ideals and their Rees algebras ⋮ On the hilbert series of binomial edge ideals of generalized trees ⋮ Binomial edge ideals and bounds for their regularity ⋮ Hilbert series of binomial edge ideals ⋮ Regularity of parity binomial edge ideals ⋮ Licci binomial edge ideals ⋮ Binomial Edge Ideals with Special Set of Associated Primes

Cites Work

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• The binomial ideal of the intersection axiom for conditional probabilities
• Binomial edge ideals and conditional independence statements
• Graphs and Ideals Generated by Some 2-Minors

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