Differential operators on Stanley-Reisner rings

DOI10.1090/S0002-9947-97-01749-2zbMath0872.16016OpenAlexW1595982426MaRDI QIDQ4336670

J. R. Tripp

Publication date: 13 May 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-97-01749-2

zbMATH Keywords

simplicial complexesidealizersStanley-Reisner ringsright Noetherian ringsrings of differential operatorsmonomial ideals

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Commutative rings of differential operators and their modules (13N10) Rings of differential operators (associative algebraic aspects) (16S32) Ideals in associative algebras (16D25) Abstract complexes in algebraic topology (55U05) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (8)

Bernstein-Sato Polynomials in Commutative Algebra ⋮ Local Cohomology—An Invitation ⋮ Noetherian properties of rings of differential operators of affine semigroup algebras. ⋮ Differential operators, retracts, and toric face rings ⋮ Symmetry on rings of differential operators ⋮ An illustrated view of differential operators of a reduced quotient of an affine semigroup ring ⋮ Differential operators on monomial rings ⋮ The ring of differential operators of a stanley - reisner ring

Cites Work

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• ORDERS EQUIVALENT TO THE FIRST WEYL ALGEBRA
• The Differential Operator Ring of an Affine Curve
• Differential Operators on an Affine Curve
• The Module of Derivations of a Stanley-Reisner Ring

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