Weakly Closed Graphs andF-Purity of Binomial Edge Ideals

DOI10.1142/S1005386718000391zbMath1401.05139arXiv1209.4300OpenAlexW2963031077MaRDI QIDQ4561574

Kazunori Matsuda

Publication date: 7 December 2018

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.4300

zbMATH Keywords

closed graph\(F\)-purebinomial edge idealweakly closed graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) 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) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Combinatorial aspects of commutative algebra (05E40)

Related Items (6)

Hamiltonian paths, unit-interval complexes, and determinantal facet ideals ⋮ Gorenstein binomial edge ideals ⋮ Gröbner deformations and F‐singularities ⋮ Local cohomology and Lyubeznik numbers of \(F\)-pure rings ⋮ On \(m\)-closed graphs ⋮ On the equality of symbolic and ordinary powers of binomial edge ideals

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