The coordinate ring of a simple polyomino

zbMath1326.05029arXiv1408.4275MaRDI QIDQ892088

Sara Saeedi Madani, Jürgen Herzog

Publication date: 18 November 2015

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.4275

zbMATH Keywords

Cohen-Macaulay domainbalanced polyomino

Mathematics Subject Classification ID

Integral domains (13G05) Polyominoes (05B50) Combinatorial aspects of commutative algebra (05E40)

Related Items (12)

Toric representations of algebras defined by certain nonsimple polyominoes ⋮ Regularity and the Gorenstein property of \(L\)-convex polyominoes ⋮ Hilbert series of parallelogram polyominoes ⋮ Primality of polyomino ideals by quadratic Gröbner basis ⋮ Hilbert-Poincaré series and Gorenstein property for some non-simple polyominoes ⋮ Primality of multiply connected polyominoes ⋮ Polyocollection ideals and primary decomposition of polyomino ideals ⋮ Shellable simplicial complex and switching rook polynomial of frame polyominoes ⋮ Hilbert series of simple thin polyominoes ⋮ On Gröbner basis and Cohen-Macaulay property of closed path polyominoes ⋮ Primality of weakly connected collections of cells and weakly closed path polyominoes ⋮ Primality of closed path polyominoes

Cites Work

• Gröbner bases and multiplicity of determinantal and Pfaffian ideals
• Ladder determinantal rings
• Ideals generated by 2-minors, collections of cells and stack polyominoes
• Gröbner bases of balanced polyominoes
• Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci

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