4 citations · 15 across the 30 of their papers we have counts for
31 papers · 1 filter
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…
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…
On t-reductions of ideals in pullbacks
S. Kabbaj, A. Kadri, A. Mimouni
This paper investigates t-reductions of ideals in pullback constructions. Section 2 examines the correlation between the notions of reduction and t-reduction in pseudo-valuation do…
Zaks' conjecture on rings with semi-regular proper homomorphic images
K. Adarbeh, S. Kabbaj
In this paper, we prove an extension of Zaks' conjecture on integral domains with semi-regular proper homomorphic images (with respect to finitely generated ideals) to arbitrary ri…
Matlis' semi-regularity in trivial ring extensions issued from integral domains
K. Adarbeh, S. Kabbaj
This paper contributes to the study of homological aspects of trivial ring extensions (also called Nagata idealizations). Namely, we investigate the transfer of the notion of (Matl…
t-Reductions and t-integral closure of ideals
S. Kabbaj, A. Kadri
Let R be an integral domain and I a nonzero ideal of R. A sub-ideal J of I is a t-reduction of I if (JI^{n})_{t}=(I^{n+1})_{t} for some positive integer n. An element x in R is t-i…