Gröbner bases of balanced polyominoes

DOI10.1002/mana.201400153zbMath1315.13043arXiv1403.6920OpenAlexW2129409949MaRDI QIDQ5252291

Jürgen Herzog, Akihiro Shikama, Ayesha Asloob Qureshi

Publication date: 29 May 2015

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.6920

zbMATH Keywords

Gröbner basespolyominoesbinomial idealslattice ideals

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) Combinatorial aspects of commutative algebra (05E40)

Related Items

Nonsimple polyominoes and prime ideals ⋮ Toric representations of algebras defined by certain nonsimple polyominoes ⋮ Hilbert series of parallelogram polyominoes ⋮ Unnamed Item ⋮ The coordinate ring of a simple polyomino ⋮ Primality of polyomino ideals by quadratic Gröbner basis ⋮ Hilbert-Poincaré series and Gorenstein property for some non-simple polyominoes ⋮ Primality of multiply connected polyominoes ⋮ 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

Cites Work

• Unnamed Item
• Determinantal rings
• Gröbner bases and multiplicity of determinantal and Pfaffian ideals
• Ladder determinantal rings
• Primary decomposition of lattice basis ideals
• Ideals generated by 2-minors, collections of cells and stack polyominoes
• Binomial ideals