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Ideals Generated by Diagonal 2-Minors

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Publication:2842698
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DOI10.1080/00927872.2012.672603zbMath1274.13024arXiv1112.3721OpenAlexW2964269984MaRDI QIDQ2842698

Viviana Ene, Ayesha Asloob Qureshi

Publication date: 16 August 2013

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

Full work available at URL: https://arxiv.org/abs/1112.3721


zbMATH Keywords

determinantal idealsGröbner basisgraphsdivisor class groupsbinomial ideals


Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Class groups (13C20)


Related Items

Ideals generated by principal minors ⋮ Toric ideals and diagonal \(2\)-minors ⋮ Powers of \(t\)-spread principal Borel ideals ⋮ Hilbert-Poincaré series and Gorenstein property for some non-simple polyominoes ⋮ On Gröbner basis and Cohen-Macaulay property of closed path polyominoes



Cites Work

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  • Binomial edge ideals and conditional independence statements
  • Ladder determinantal rings
  • Ideals generated by 2-minors, collections of cells and stack polyominoes
  • Ideals of adjacent minors
  • Ideals generated by adjacent 2-minors
  • Every Abelian group is a class group
  • Graphs and Ideals Generated by Some 2-Minors
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