Polyocollection ideals and primary decomposition of polyomino ideals
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Publication:6146654
DOI10.1016/j.jalgebra.2023.11.024zbMath1530.05026arXiv2302.08337OpenAlexW4389117560MaRDI QIDQ6146654
Carmelo Cisto, Dharm Veer, Francesco Navarra
Publication date: 15 January 2024
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.08337
Cites Work
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- The coordinate ring of a simple polyomino
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- Ideals generated by adjacent 2-minors
- 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 multiply connected polyominoes
- Green-Lazarsfeld condition for toric edge ideals of bipartite graphs
- Hilbert series of simple thin polyominoes
- Linearly related polyominoes
- Simple polyominoes are prime
- Algebraic properties of the coordinate ring of a convex polyomino
- Hilbert series of parallelogram polyominoes
- The \(h\)-polynomial and the rook polynomial of some polyominoes
- Gröbner bases of balanced polyominoes
- Primality of closed path polyominoes
- The Charney-Davis conjecture for simple thin polyominoes
- Primality of polyomino ideals by quadratic Gröbner basis
- Hilbert-Poincaré series and Gorenstein property for some non-simple polyominoes
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