Ideals generated by adjacent 2-minors

DOI10.1216/JCA-2012-4-4-525zbMath1267.13046arXiv1012.5789OpenAlexW2963058872MaRDI QIDQ1947252

Takayuki Hibi, Jürgen Herzog

Publication date: 22 April 2013

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.5789

zbMATH Keywords

contingency tablesbinomial idealsideals of 2-adjacent minors

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Contingency tables (62H17) Other special types of modules and ideals in commutative rings (13C13) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)

Related Items (11)

Prime splittings of determinantal ideals ⋮ Polyocollection ideals and primary decomposition of polyomino ideals ⋮ Shellable simplicial complex and switching rook polynomial of frame polyominoes ⋮ The binomial edge ideal of a pair of graphs ⋮ Ideals generated by 2-minors, collections of cells and stack polyominoes ⋮ Ideals Generated by Diagonal 2-Minors ⋮ On Gröbner basis and Cohen-Macaulay property of closed path polyominoes ⋮ Trimming complexes and applications to resolutions of determinantal facet ideals ⋮ Primality of weakly connected collections of cells and weakly closed path polyominoes ⋮ Graded ideals of König type ⋮ Primality of closed path polyominoes

Cites Work

• Binomial edge ideals and conditional independence statements
• Determinantal rings
• Primary decomposition of lattice basis ideals
• Ideals generated by 2-minors, collections of cells and stack polyominoes
• Ideals of adjacent minors
• Binomial ideals
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