The relevance of Freiman's theorem for combinatorial commutative algebra

DOI10.1007/s00209-018-2200-4zbMath1412.13025arXiv1801.05129OpenAlexW2963275866WikidataQ128870874 ScholiaQ128870874MaRDI QIDQ2633096

Takayuki Hibi, Guangjun Zhu, Jürgen Herzog

Publication date: 8 May 2019

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.05129

zbMATH Keywords

monomial idealfiber coneFreiman idealFreiman graphFreiman matroid

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Regular local rings (13H05)

Related Items (8)

Freiman \(t\)-spread principal Borel ideals ⋮ Freiman cover ideals of unmixed bipartite graphs ⋮ Freiman Borel-type ideals ⋮ Sortable Freiman ideals ⋮ Classes of cut ideals and their Betti numbers ⋮ Tight and adjusted equigenerated sequences, and the special fiber ⋮ On quasi-equigenerated and Freiman cover ideals of graphs ⋮ Unnamed Item

Cites Work

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