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19932026
most citedDynamical decoupling and noise spectroscopy with a superconducting flux qubit

880 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing math.ACShow all

20 papers · 1 filter

math.AC2017★ 1 cited

Second Representable Modules over Commutative Rings

Jawad Abuhlail, Hamzah Hroub

Let be a commutative ring. We investigate -modules which can be written as \emph{finite} sums of {\it {second}} -submodules (we call them \emph{second representable}). We…

math.AC2016

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…

math.AC2016★ 3 cited

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…

math.AC2016

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…

math.AC2016★ 1 cited

Star-reductions of ideals and Prufer v-multiplication domains

E. Houston, S. Kabbaj, A. Miomouni

Let R be a commutative ring and I an ideal of R. A sub-ideal J of I is a reduction of I if JI^n = I^n+1 for some positive integer n. The ring R has the (finite) basic ideal propert…

math.AC2016

Integral domains with Boolean t-Class semigroup

S. Kabbaj, A. Mimouni

The t-class semigroup of an integral domain is the semigroup of the isomorphy classes of the t-ideals with the operation induced by t-multiplication. This paper investigates integr…

math.AC2016

Prufer conditions in an amalgamated duplication of a ring along an ideal

M. Chhiti, M. Jarrar, S. Kabbaj +1

This paper investigates ideal-theoretic as well as homological extensions of the Prufer domain concept to commutative rings with zero divisors in an amalgamated duplication of a ri…

math.AC2016

Dimension theory of tensor products of AF-rings

S. Kabbaj

AF-rings are algebras over a field k which satisfy the Altitude Formula over k. This paper surveys a few works in the literature on the Krull and valuative dimensions of tensor pro…

math.AC2015

On Armendariz-like properties in Amalgamated algebras along ideals

N. Mahdou, A. Mimouni, M. elOuarrachi

Let be a ring homomorphism and be an ideal of . In this paper, we investigate the transfer of Armendariz-like properties to the amalgamation of with…

math.AC2012★ 2 cited

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…

math.AC2009

Tilting Modules over Almost Perfect Domains

Jawad Abuhlail, Mohammad Jarrar

We provide a complete classification of all tilting modules and tilting classes over almost perfect domains, which generalizes the classifications of tilting modules and tilting cl…

math.AC2008★ 4 cited

t-Class semigroups of Noetherian domains

S. Kabbaj, A. Mimouni

The t-class semigroup of an integral domain is the semigroup of fractional t-ideals modulo its subsemigroup of nonzero principal ideals with the operation induced by ideal t-multip…

math.AC2008★ 1 cited

Commutative rings in which every finitely generated ideal is quasi-projective

J. Abuhlail, M. Jarrar, S. Kabbaj

This paper studies the multiplicative ideal structure of commutative rings in which every finitely generated ideal is quasi-projective. Section 2 provides some preliminaries on qua…

math.AC2008

Trivial extensions defined by Prufer conditions

C. Bakkari, S. Kabbaj, N. Mahdou

This paper deals with well-known extensions of the Prufer domain concept to arbitrary commutative rings. We investigate the transfer of these notions in trivial ring extensions (al…

math.AC2007

Ratliff-Rush Closure of Ideals in Integral Domains

Abdeslam Mimouni

This paper studies the Ratliff-Rush closure of ideals in integral domains. By definition, the Ratliff-Rush closure of an ideal of a domain is the ideal given by $\tilde{I}:…

math.AC2006

On the Set of -Linked Overrings of an integral domain

Abdeslam Mimouni

et be an integral domain with quotient field . An overring of is -linked over if implies that for each finitely generated ideal of $…

math.AC2006

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…

math.AC2006

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…

math.AC2006

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…

math.AC2003

Essential domains and two conjectures in dimension theory

Marco Fontana, Salah Kabbaj

This note investigates two long-standing conjectures on the Krull dimension of integer-valued polynomial rings and of polynomial rings, respectively, in the context of (locally) es…