4 citations · 15 across the 30 of their papers we have counts for
10 papers · 2 filters
Constituent Groups of Clifford Semigroups Arising from t-Closure
S. Kabbaj, A. Mimouni
The t-class semigroup of an integral domain R, denoted S_t(R), is the semigroup of fractional t-ideals modulo its subsemigroup of nonzero principal ideals with the operation induce…
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.
Trivial Extensions Defined by Coherent-like Conditions
S. Kabbaj, N. Mahdou
This paper investigates coherent-like conditions and related properties that a trivial extension might inherit from the ground ring over some classes of modules. It captures previo…
Trivial Extensions of Local Rings and a Conjecture of Costa
S. Kabbaj, N. Mahdou
This paper partly settles a conjecture of Costa on (n,d)-rings, i.e., rings in which n-presented modules have projective dimension at most d. For this purpose, a theorem studies th…
On The Class Group of a Graded Domain
S. El Baghdadi, L. Izelgue, S. Kabbaj
This paper studies the class group of graded integral domains. As an application, we state a decomposition theorem for class groups of semigroup rings. This recovers well-known res…
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…