715 citations
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Showing 2006Show all
3 papers · 1 filter
math.AC2006
The dimension of tensor products of k-algebras arising from pullbacks
S. Bouchiba, F. Girolami, S. Kabbaj
The purpose of this paper is to compute the Krull dimension of tensor products of k-algebras arising from pullbacks. We also state a formula for the valuative dimension.
math.AC2006
Tensor Products of Cohen-Macaulay Rings. Solution to a Problem of Grothendieck
S. Bouchiba, S. Kabbaj
In this paper we solve a problem, originally raised by Grothendieck, on the transfer of Cohen-Macaulayness to tensor products of algebras over a field. As a prelude to this, we inv…
math.AC2006
On the Prime Ideal Structure of Tensor Products of Algebras
S. Bouchiba, D. E. Dobbs, S. Kabbaj
This paper is concerned with the prime spectrum of a tensor product of algebras over a field. It seeks necessary and sufficient conditions for such a tensor product to have the S-p…