Primality of closed path polyominoes

DOI10.1142/S021949882350055XOpenAlexW4205616383MaRDI QIDQ5879295

Carmelo Cisto, Francesco Navarra

Publication date: 28 February 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.13935

zbMATH Keywords

toric idealspolyominoeszig-zag walks

Mathematics Subject Classification ID

Integral domains (13G05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Polyominoes (05B50) Combinatorial aspects of commutative algebra (05E40)

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Hilbert-Poincaré series and Gorenstein property for some non-simple polyominoes ⋮ Polyocollection ideals and primary decomposition of polyomino ideals ⋮ Shellable simplicial complex and switching rook polynomial of frame polyominoes ⋮ Primality of weakly connected collections of cells and weakly closed path polyominoes

Cites Work

• Unnamed Item
• Nonsimple polyominoes and prime ideals
• The coordinate ring of a simple polyomino
• Binomial edge ideals and conditional independence statements
• Ladder determinantal rings
• Ladder determinantal rings have rational singularities
• Toric representations of algebras defined by certain nonsimple polyominoes
• Ideals generated by 2-minors, collections of cells and stack polyominoes
• Ideals of adjacent minors
• Ideals generated by adjacent 2-minors
• Primality of multiply connected polyominoes
• Simple polyominoes are prime
• Special simplices and Gorenstein toric rings.
• Gorenstein Ladder Determinantal Rings
• Gröbner bases of balanced polyominoes