Ladder determinantal rings
From MaRDI portal
Publication:1346704
DOI10.1016/0022-4049(94)00039-LzbMath0842.13007MaRDI QIDQ1346704
Publication date: 10 April 1995
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Related Items
Ideals of adjacent minors ⋮ Singularities of certain ladder determinantal varieties ⋮ Degenerations of the generic square matrix, the polar map and the determinantal structure ⋮ Toric representations of algebras defined by certain nonsimple polyominoes ⋮ Prime splittings of determinantal ideals ⋮ Algebraic properties of the coordinate ring of a convex polyomino ⋮ Regularity and the Gorenstein property of \(L\)-convex polyominoes ⋮ Ladder determinantal rings have rational singularities ⋮ Pfaffian ideals of ladders ⋮ Almost Gorenstein Hibi rings ⋮ Oscillating tableaux and nonintersecting lattice paths ⋮ Computation of the a-invariant of ladder determinantal rings ⋮ The sum of all width-one matrices ⋮ The coordinate ring of a simple polyomino ⋮ Primality of polyomino ideals by quadratic Gröbner basis ⋮ Shellable simplicial complex and switching rook polynomial of frame polyominoes ⋮ Determinantal facet ideals ⋮ Gröbner bases via linkage ⋮ Symmetry preserving degenerations of the generic symmetric matrix ⋮ Gröbner bases and the Cohen-Macaulay property of Li’s double determinantal varieties ⋮ Ladder determinantal rings over normal domains ⋮ Graphs and Ideals Generated by Some 2-Minors ⋮ Ideals generated by 2-minors, collections of cells and stack polyominoes ⋮ On the \(F\)-rationality and cohomological properties of matrix Schubert varieties ⋮ Monomial and toric ideals associated to Ferrers graphs ⋮ Generic constructions and semidualizing modules ⋮ \(M\)-sequences, graph ideals, and ladder ideals of linear type ⋮ Semidualizing modules of \(2\times2\) ladder determinantal rings ⋮ Ideals Generated by Diagonal 2-Minors ⋮ Mixed ladder determinantal varieties ⋮ On Gröbner basis and Cohen-Macaulay property of closed path polyominoes ⋮ The \(h\)-vector of a ladder determinantal ring cogenerated by \(2\times 2\) minors is log-concave ⋮ Gröbner bases of balanced polyominoes ⋮ Primality of weakly connected collections of cells and weakly closed path polyominoes ⋮ Castelnuovo-Mumford regularity of ladder determinantal varieties and patches of Grassmannian Schubert varieties ⋮ Gröbner basis and free resolution of the ideal of 2-minors of a 2 ×nmatrix of linear forms* ⋮ Hyperplane sections of Grassmannians and the number of MDS linear codes ⋮ Primality of closed path polyominoes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The irreducibility of ladder determinantal varieties
- Über Streckungsringe. (On rings with straightening law)
- Determinantal rings
- Divisor class groups of affine semigroup rings associated with distributive lattices
- Gröbner bases and multiplicity of determinantal and Pfaffian ideals
- Gröbner bases and Stanley decompositions of determinantal ideals
- Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
- Ideals of generic minors