Binomial arithmetical rank of edge ideals of forests

DOI10.1090/S0002-9939-2013-11473-5zbMath1273.05040OpenAlexW2042770699MaRDI QIDQ2838950

Kyouko Kimura, Naoki Terai

Publication date: 4 July 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2013-11473-5

zbMATH Keywords

vertex coveringedge idealsbinomial arithmetical rankbig height of an idealprimitive treetree like system

Mathematics Subject Classification ID

Trees (05C05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55)

Related Items (6)

A glimpse to most of the old and new results on very well-covered graphs from the viewpoint of commutative algebra ⋮ On the dimension of dual modules of local cohomology and the Serre's condition for the unmixed Stanley-Reisner ideals of small height ⋮ Arithmetical rank of Gorenstein squarefree monomial ideals of height three ⋮ Cohen Macaulayness and arithmetical rank of generalized theta graphs ⋮ The arithmetical rank of the edge ideals of graphs with whiskers ⋮ Arithmetical rank of a squarefree monomial ideal whose Alexander dual is of deviation two

Cites Work

• Unnamed Item
• Unnamed Item
• Arithmetical rank of Cohen-Macaulay squarefree monomial ideals of height two
• Upper bounds for the arithmetical ranks of monomial ideals
• Simplicial ideals, 2-linear ideals and arithmetical rank
• Regularity, depth and arithmetic rank of bipartite edge ideals
• Arithmetical rank of squarefree monomial ideals of small arithmetic degree
• Note on set-theoretic intersections of subvarieties of projective space
• ARITHMETICAL RANK OF THE CYCLIC AND BICYCLIC GRAPHS
• Arithmetical rank of lexsegment edge ideals
• Arithmetical Ranks of Stanley–Reisner Ideals of Simplicial Complexes with a Cone
• The Stanley–Reisner Ideals of Polygons as Set-Theoretic Complete Intersections
• Algebraic Properties of the Path Ideal of a Tree
• Arithmetical Rank of Squarefree Monomial Ideals Generated by Five Elements or with Arithmetic Degree Four
• Symbolic powers and matroids
• On the Arithmetical Rank of the Edge Ideals of Forests

This page was built for publication: Binomial arithmetical rank of edge ideals of forests