2 citations · 2 across the 12 of their papers we have counts for
13 papers
Basically regular local homomorphisms
Samir Bouchiba, Salah Kabbaj, Keri Sather-Wagstaff
We investigate the transfer of regularity between commutative, noetherian, local rings through a class of local homomorphisms which we call basically regular. We give numerical cha…
Local dimension theory of tensor products of algebras over a ring
Samir Bouchiba
Our main goal in this paper is to set the general frame for studying the dimension theory of tensor products of algebras over an arbitrary ring . Actually, we translate the theo…
Embedding dimension and codimension of tensor products of algebras over a field
S. Bouchiba, S. Kabbaj
Let k be a field. This paper investigates the embedding dimension and codimension of Noetherian local rings arising as localizations of tensor products of k-algebras. We use result…
Cohen-Macaulay, Gorenstein, Complete intersection and regular defect for the tensor product of algebras
S. Bouchiba, J. Conde-Lago, J. Majadas
This paper main goal is to measure the defect of Cohen-Macaulayness, Gorensteiness, complete intersection and regularity for the tensor product of algebras over a ring. For this sa…
A special chain theorem for the embedding dimension
S. Bouchiba, S. Kabbaj
This paper establishes an analogue of the special chain theorem for the embedding dimension of polynomial rings, with direct application on the (embedding) codimension. In particul…
Regularity of tensor products of k-algebras
S. Bouchiba, S. Kabbaj
This paper tackles a problem on the possible transfer of regularity to tensor products of algebras over a field k. The main result establishes necessary and sufficient conditions f…