On matrix and lattice ideals of digraphs

DOI10.22108/toc.2017.105701.1510zbMath1463.05219OpenAlexW2784487960MaRDI QIDQ5135460

Farhad Rahmati, Hamid Damadi

Publication date: 20 November 2020

Full work available at URL: https://doaj.org/article/c51f4de78ef44e13b7e37d2798f73b09

zbMATH Keywords

binomial idealdirected graphmatrix ideals

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Projective and free modules and ideals in commutative rings (13C10) Ideals and multiplicative ideal theory in commutative rings (13A15) Directed graphs (digraphs), tournaments (05C20) Combinatorial aspects of commutative algebra (05E40) Arithmetic rings and other special commutative rings (13F99)

Cites Work

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• Binomial \(D\)-modules
• Cohen-Macaulay rings associated with digraphs
• Primary decomposition of lattice basis ideals
• Mixed matrices and binomial ideals
• Binomial ideals
• Combinatorics of binomial primary decomposition
• A free resolution of a binomial ideal

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