Persistence and stability properties of powers of ideals

From MaRDI portal
Publication:472996

DOI10.1016/j.jpaa.2014.05.011zbMath1305.13005arXiv1208.4684OpenAlexW1980278958MaRDI QIDQ472996

Jürgen Herzog, Ayesha Asloob Qureshi

Publication date: 21 November 2014

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.4684




Related Items

Strong persistence and associated primes of powers of monomial idealsPowers of sums and their associated primesDepth and regularity of powers of sums of idealsSome homological properties of Borel type idealsDepth Functions and Symbolic Depth Functions of Homogeneous IdealsDepth and regularity modulo a principal idealDominating ideals and closed neighborhood ideals of graphsThe strong persistence property and symbolic strong persistence propertySuperficial ideals for monomial idealsMaximal generating degrees of integral closures of powers of monomial idealsPOWERS OF BINOMIAL EDGE IDEALS WITH QUADRATIC GRÖBNER BASESDiscrete polymatroids satisfying a stronger symmetric exchange propertyClasses of normally and nearly normally torsion-free monomial idealsSquarefree monomial ideals with constant depth functionPowers of Principal Q-Borel idealsPowers of \(t\)-spread principal Borel idealsAlgebraic and combinatorial properties of generalized bi-polymatroidal idealsOn the matroidal path idealsA note on stability properties of powers of polymatroidal idealsDecreasing behavior of the depth functions of edge idealsStability of depth and Cohen-Macaulayness of integral closures of powers of monomial idealsOn the strong persistence property and normality of cover ideals of theta graphsStability properties of powers of ideals in regular local rings of small dimensionDepth of powers of generalized Hibi idealsAssociated primes of \(h\)-wheelsNormally torsion-freeness of monomial ideals under monomial operatorsA note on the Alexander dual of path ideals of rooted treesThe socle module of a monomial idealStability of depths of symbolic powers of Stanley-Reisner idealsAn effective avoidance principle for a class of idealsStability of depths of powers of edge idealsSaturation and associated primes of powers of edge idealsStability of depth functions of cover ideals of balanced hypergraphsStability of depth and Stanley depth of symbolic powers of squarefree monomial idealsSortable simplicial complexes and \(t\)-independence ideals of proper interval graphsAssociated primes of powers of cover ideals under graph operationsAssociated primes of powers of edge ideals and ear decompositions of graphsNormality of cover ideals of graphs and normality under some operationsOn stability properties of powers of polymatroidal idealsMatchings and squarefree powers of edge idealsPolarization of Koszul cycles with applications to powers of edge ideals of whisker graphsDepth functions of symbolic powers of homogeneous idealsRestricted classes of veronese type ideals and algebrasPROPERTIES OF $T$-SPREAD PRINCIPAL BOREL IDEALS GENERATED IN DEGREE TWOSquarefree monomial ideals that fail the persistence property and non-increasing depthA NEW PROOF OF THE PERSISTENCE PROPERTY FOR IDEALS IN DEDEKIND RINGS AND PR¨UFER DOMAINS


Uses Software


Cites Work