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Publications Recherche en mathématiques
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et calcul formel
Ihsen
YENGUI
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- A
solution to the Gröbner ring conjecture in the lexicographical
monomial order case.
Mathematische Zeitschrift, in press.
-
Un algorithme pour le calcul des syzygies sur V[X] dans le cas où V
est un domaine de valuation.
with Henri Lombardi and Claude
Quitté
Communications in Algebra, in press
- A
Negative Answer to a Question about Leading Terms Ideals of
Polynomial Ideals.
with Emmanuel Pola
Journal of Pure
and Applied Algebra 216 , (2012), 2432-2435.
-
On the leading terms ideals of polynomial ideals over a valuation
ring.
with Samiha Monceur
Journal of Algebra 351
, (2012), 382-389.
- Stably free modules
over R[X] of rank > dim R are free.
Mathematics of
computation 80 (2011) 1093-1098
- Corrigendum to Dynamical
Gröbner bases over Dedekind rings.
Journal of Algebra
(in press)
- A
solution to the Gröbner ring conjecture in one variable.
with Henri Lombardi and Peter Schuster
Math Zeitschrift
DOI: 10.1007/s00209-011-0847-1
abstract
-
Dynamical Gröbner bases over Dedekind rings.
with
Amina Hadj Kacem
Journal of Algebra 324 (2010) 12-24
- An
algorithm for unimodular completion over Laurent polynomial rings.
with Morou Amidou
Linear Algebra and its Applications
429 , (2008), 1687-1698.
- An
algorithm for unimodular completion over Noetherian rings. .
with Abdessalem Mnif
J. Algebra 316 , (2007),
483-498.
-
Projective modules over polynomial rings : a constructive
approach.
with Sami Barhoumi and Henri Lombardi
Math.
Nach 282 , (2009), 792-799. abstract
-
The Hermite ring conjecture in dimension one. J. Algebra 320
, (2008), 437-441.
- A dynamical comparison
between the rings R(X) and R<X>.
with Afef Ellouz and
Henri Lombardi
J. Algebra 320 , (2008), 521-533. abstract
-
Computing a Gröbner basis of a polynomial ideal over a
principal domain
preprint 2005.
- Making the
use of maximal ideals constructive
Theoret. Comput. Sci.
392 , (2008), 174-178.
- Hidden constructions in
abstract algebra (6). The theorem of Maroscia, Brewer and Costa.
with Henri Lombardi and Claude Quitté
J. Pure Appl.
Algebra 212 , (2008), 1575-1582. abstract
- A dynamical solution to Kronecker's
problem
Dagstuhl Seminar Proceedings 05021 Mathematics,
Algorithms, Proofs (January 2005), T. Coquand, H. Lombardi, M. Roy
(Eds.)
Available on line here
-
Dynamical Gröbner bases
J. Algebra 301 ,
(2006), 447-458.
- Suslin's algorithms for
reduction of unimodular rows. fichier pdf
with Henri
Lombardi abstract
Journal of Symbolic Computation 39 (2005), 707-717.
- An
algorithm for the divisors of monic polynomials over a commutative
ring
Math. Nachr. 260 , (2003), 1-7.
abstract