4 papers · 1 filter
Krull dimension of tensor products of pullbacks
Samir Bouchiba
This paper is concerned with the study of the dimension theory of tensor products of algebras over a field . We answer an open problem set in [6] and compute dim…
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.
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…
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…