NORMALITY OF AFFINE SEMIGROUP RINGS GENERATED BY 2-DIMENSIONAL CONE TYPE SIMPLICIAL COMPLEXES

DOI10.1081/AGB-100002115zbMath1024.13007OpenAlexW2077216398MaRDI QIDQ2752382

Yukihide Takayama

Publication date: 3 November 2002

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

Full work available at URL: https://doi.org/10.1081/agb-100002115

zbMATH Keywords

graphGröbner basessimplicial complexKoszul algebrasVeronese subring

Mathematics Subject Classification ID

Algebraic combinatorics (05E99) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Semigroup rings, multiplicative semigroups of rings (20M25)

Related Items (3)

Unnamed Item ⋮ Stochastic stability of quasi-integrable Hamiltonian systems with time delay by using Lyapunov function method ⋮ Normality of semigroups with some links to graph theory.

Cites Work

• Normal polytopes arising from finite graphs
• Toric ideals generalized by quadratic binomials
• On the ideal theory of graphs
• The integral closure of subrings associated to graphs
• Normality of subrings generated by square free monomials
• Toric rings generated by special stable sets of monomials

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