Finite generation of rings of differential operators of semigroup algebras.

DOI10.1016/j.jalgebra.2004.01.009zbMath1054.16021OpenAlexW2166815903MaRDI QIDQ1879655

William N. Traves, Mutsumi Saito

Publication date: 23 September 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.01.009

zbMATH Keywords

toric varietiesdifferential operatorsgraded ringssemigroup algebrasorder filtrationsfinitely generated rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Rings of differential operators (associative algebraic aspects) (16S32) Filtered associative rings; filtrational and graded techniques (16W70)

Related Items (10)

Noetherian properties of rings of differential operators of affine semigroup algebras. ⋮ \(D\)-modules, Bernstein-Sato polynomials and \(F\)-invariants of direct summands ⋮ Differential operators, retracts, and toric face rings ⋮ First Syzygies of irreducible \(A\)-hypergeometric quotients ⋮ Irregularity of hypergeometric systems via slopes along coordinate subspaces ⋮ $D$-module structure of local cohomology modules of toric algebras ⋮ The Spectrum of the Graded Ring of Differential Operators of a Scored Semigroup Algebra ⋮ Primitive ideals of the ring of differential operators on a affine toric variety ⋮ Fixed Ideals of Certain Cartier Algebras OverF-split Toric Algebras ⋮ An illustrated view of differential operators of a reduced quotient of an affine semigroup ring

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