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RESEARCH PRODUCT
The Herzog-Vasconcelos conjecture for affine semigroup rings
D.p. PatilGerd Müllersubject
Discrete mathematicsPure mathematicsRing (mathematics)Algebra and Number TheoryConjectureMathematics::Commutative AlgebraSemigroupPolynomial ringDimension (graph theory)Affine transformationMathematicsMathematicsdescription
Let S be a simplicial affine semigroup such that its semigroup ring A = k[S] is Buchsbaum. We prove for such A the Herzog-Vasconcelos conjecture: If the A-module Der(k)A of k-linear derivations of A has finite projective dimension then it is free and hence A is a polynomial ring by the well known graded case of the Zariski-Lipman conjecture.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1999-01-01 | IndraStra Global |