Miiller, Gerd and Patil, DP (1999) The Herzog-Vasconcelos conjecture for affine semigroup rings. In: Communications in Algebra, 27 (7). 3197-3200 .
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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.
|Item Type:||Journal Article|
|Additional Information:||Copyright of this article belongs to Taylor and Francis Group.|
|Department/Centre:||Division of Physical & Mathematical Sciences > Mathematics|
|Date Deposited:||02 Jul 2011 05:34|
|Last Modified:||02 Jul 2011 05:34|
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