Algebraic properties of the coordinate ring of a convex polyomino

DOI10.37236/7728zbMath1459.05039arXiv1803.03801OpenAlexW3136655257MaRDI QIDQ2656898

Claudia Andrei

Publication date: 17 March 2021

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.03801

zbMATH Keywords

Castelnuovo-Mumford regularitystack polyominoes2-sided laddersone-sided ladders

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Polyominoes (05B50) Combinatorial aspects of commutative algebra (05E40) General convexity (52A99)

Related Items (4)

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 ⋮ On Gröbner basis and Cohen-Macaulay property of closed path polyominoes

Cites Work

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• Reconstruction of L-convex Polyominoes
• Gorenstein Ladder Determinantal Rings
• Monomial Algebras
• Computational methods of commutative algebra and algebraic geometry. With chapters by David Eisenbud, Daniel R. Grayson, Jürgen Herzog and Michael Stillman

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