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The main result in this article gives a partial answer to the following question for n = 2. Let k[U] and k[V] be the coordinate rings of the irreducible algebraic sets U and V, respectively. Is projective dimension of J n (k[U × V]) finite whenever projective dimension of J n (k[U]) and projective dimension of J n (k[V]) are finite?
Communicated by T. Albu.
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