Componentwise linear ideals and Golod rings

From MaRDI portal
Publication:1591605

DOI10.1307/mmj/1030132406zbMath0967.13018OpenAlexW1979497362MaRDI QIDQ1591605

Jürgen Herzog, Victor Reiner, Volkmar Welker

Publication date: 1 January 2001

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1030132406




Related Items

Betti splitting via componentwise linear idealsDimension filtration, sequential Cohen-Macaulayness and a new polynomial invariant of graded algebrasStanley-Reisner RingsOn the notion of sequentially Cohen-Macaulay modulesAlgebraic properties of ideals of poset homomorphismsCombinatorics of multigraded Poincaré series for monomial ringsSequentially cohen-macaulay matroidal idealsSymmetric iterated Betti numbersWeakly polymatroidal ideals with applications to vertex cover idealsZero-generic initial idealsComponentwise regularity. IA Taylor resolution over complete intersectionsFace numbers of sequentially Cohen-Macaulay complexes and Betti numbers of componentwise linear idealsThe Golod property for products and high symbolic powers of monomial idealsGeneric local rings on a spectrum between Golod and GorensteinSyzygies in Hilbert schemes of complete intersectionsComponentwise linearity of powers of cover idealsThe Golod property for Stanley-Reisner rings in varying characteristicFree resolution of powers of monomial ideals and Golod ringsThe minimal free resolution of a class of square-free monomial ideals.Alexander duality for Stanley-Reisner rings and squarefree \(\mathbb{N}^n\)-graded modulesOn the Golod property of Stanley-Reisner ringsOn the powers of vertex cover idealsShellable complexes and topology of diagonal arrangementsGeneric initial ideals and fibre productsMoment-angle complexes of pairs \((D^n,S^{n-1})\) and simplicial complexes with vertex-decomposable dualsNote on bounds for multiplicitiesPoset resolutions and lattice-linear monomial idealsOn the componentwise linearity and the minimal free resolution of a tetrahedral curveKoszul incidence algebras, affine semigroups, and Stanley-Reisner ideals.Some Families of Componentwise Linear Monomial IdealsOn the multigraded Hilbert and Poincaré-Betti series and the Golod property of monomial ringsThe homotopy types of moment-angle complexes for flag complexesAlgebraic Shifting and Exterior and Symmetric Algebra MethodsThe Golod property for powers of ideals and Koszul idealsOn sequentially Cohen-Macaulay complexes and posetsSymbolic powers of vertex cover idealsOn the growth of deviationsFat-wedge filtration and decomposition of polyhedral productsSequential Cohen–MaCaulayness Versus Componentwise Support-LinearityPowers of the Vertex Cover Ideal of a Chordal GraphIdeals with stable Betti numbersThe Alexander duality functors and local duality with monomial supportCriteria for Componentwise LinearityResolutions of small sets of fat pointsPoincaré series of monomial ringsMinimal Betti Numbers