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Monomial Cut Ideals

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Publication:2839087
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DOI10.1080/00927872.2011.631508zbMath1270.13009arXiv1105.3564OpenAlexW1984137090MaRDI QIDQ2839087

Anda-Georgina Olteanu

Publication date: 4 July 2013

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

Full work available at URL: https://arxiv.org/abs/1105.3564


zbMATH Keywords

Cohen-Macaulay ringsgraphsBetti numberslinear resolutionmonomial idealspure resolutionprimary decompositionlinear quotients


Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02) Combinatorial aspects of simplicial complexes (05E45) Combinatorial aspects of commutative algebra (05E40)


Related Items (2)

Retracts and algebraic properties of cut algebras ⋮ Classes of cut ideals and their Betti numbers



Cites Work

  • Unnamed Item
  • Cut ideals of \(K_{4}\)-minor free graphs are generated by quadrics
  • Toric geometry of cuts and splits
  • Properties of cut ideals associated to ring graphs
  • The strong perfect graph theorem
  • Resolutions of Stanley-Reisner rings and Alexander duality
  • Resolutions by mapping cones
  • Monomial Ideals


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