Simple polyominoes are prime

DOI10.1216/JCA-2017-9-3-413zbMath1372.05031arXiv1501.05107MaRDI QIDQ2408294

Ayesha Asloob Qureshi, Takafumi Shibuta, Akihiro Shikama

Publication date: 12 October 2017

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

Full work available at URL: https://arxiv.org/abs/1501.05107

zbMATH Keywords

Gröbner basistoric idealspolyominoesweakly chordal graphs

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Structure, classification theorems for modules and ideals in commutative rings (13C05) Polyominoes (05B50) Combinatorial aspects of commutative algebra (05E40)

Related Items (15)

The Charney-Davis conjecture for simple thin polyominoes ⋮ Toric representations of algebras defined by certain nonsimple polyominoes ⋮ Regularity and the Gorenstein property of \(L\)-convex polyominoes ⋮ Hilbert series of parallelogram polyominoes ⋮ Unnamed Item ⋮ Primality of polyomino ideals by quadratic Gröbner basis ⋮ Hilbert-Poincaré series and Gorenstein property for some non-simple polyominoes ⋮ Primality of multiply connected polyominoes ⋮ Finite distributive lattices, polyominoes and ideals of König type ⋮ 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

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