Primality of weakly connected collections of cells and weakly closed path polyominoes

DOI10.1215/00192082-10123611zbMath1506.13038arXiv2106.02155OpenAlexW4287125879MaRDI QIDQ2103558

Carmelo Cisto, Francesco Navarra, Rosanna Utano

Publication date: 14 December 2022

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

Full work available at URL: https://arxiv.org/abs/2106.02155

zbMATH Keywords

polyominoclosed path

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Polyominoes (05B50) Combinatorial aspects of commutative algebra (05E40) Commutative rings defined by binomial ideals, toric rings, etc. (13F65)

Related Items (2)

Hilbert-Poincaré series and Gorenstein property for some non-simple polyominoes ⋮ Polyocollection ideals and primary decomposition of polyomino ideals

Cites Work

• Unnamed Item
• Nonsimple polyominoes and prime ideals
• The coordinate ring of a simple polyomino
• Binomial edge ideals and conditional independence statements
• Koszul bipartite graphs
• Toric ideals generalized by quadratic binomials
• 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
• Hilbert series of simple thin polyominoes
• Simple polyominoes are prime
• Special simplices and Gorenstein toric rings.
• Binomial Ideals
• Gorenstein Ladder Determinantal Rings
• Gröbner bases of balanced polyominoes
• Primality of closed path polyominoes
• Primality of polyomino ideals by quadratic Gröbner basis

This page was built for publication: Primality of weakly connected collections of cells and weakly closed path polyominoes