PUBLICATIONS
- Un corps de caractéristique nulle, algébrique sur son
centre, muni d’une involution S et
d’une S-dérivation algébrique et non interne,
Compte-rendu de l’académie des sciences Paris, 293
(1981), pp. 235-236
- Anneaux simples différentiels,
actes du « VIème Congrès du groupement des mathématiciens d’expression latine, pp.
247-250
- Sur les anneaux simples différentiels,
en collaboration avec J.P. TIGNOL et P. VAN PRAAG,
Communications in algebra, (10), n° 12, pp. 1307-1314
- Dérivations algébriques sur les corps gauches,
Bull. Soc. Math. de Belgique, fascicule 1, série B, 1984, pp. 91-103
- Dérivées logarithmiques pour une S-dérivation algébrique,
Communications in algebra, (13) 1985, pp. 85-99
- Quelques remarques à propos des S-dérivations,
en collaboration avec J. MATCZUK,
Communications in algebra, (13) 1985, pp. 1229-1244
- Dérivations algébriques, thèse, Université de l’Etat à Mons, 1985
- Dérivations et automorphismes d’anneaux premiers, en collaboration avec J. MATCZUK.
Communications in algebra, ( 13 ), 1985, pp. 1245-1266
- Ensembles algébriques dans les corps gauches et dérivées logarithmiques,
Actes du VIIème Congrès du groupement des mathématiciens
d’expression latine, Coimbra, 1985
- S-dérivations algébriques sur les anneaux premiers
Springer lectures notes in mathematics, vol. (1197), 1986, pp. 114-120
- S-dérivations algébriques sur les corps gauches et sur les
anneaux premiers,
Communications in algebra, ( 14 ), 1986, pp. 1473-1479
- Les octaves de Cayley ont l’élimination linéaire 2,
Bull. Soc. Math. De Belgique, vol.( 39 ), Fasc. 2, série B, 1987, pp. 237-241
- Sur le centralisateur de l’indéterminée dans le corps des
fractions des anneaux de polynômes gauches, en
collaboration avec N’KANZA MFUNDU,
Bull. de l’école des Sciences de l’Académie Royale de
Belgique, vol. 73, 1987, pp. 84-86
- Algebraic conjugacy classes and skew polynomial rings, in collaboration with T.Y. LAM,
perspectives in ring theory, proceedings of the 1987 NATO workshop in Antwerp, Reidel,
1988, 50 pages
- On the Gelfand-Kirillov dimension of normal localization
and twisted polynomial rings », in collaboration with J.
MATCZUK and J. OKNINSKI,
perspectives in ring theory
proceedings of the NATO workshop in Antwerp, Reidel, 1988,
205-214
- Vandermonde and Wronskian matrices over division rings,
in collaboration with T.Y. LAM,
Bull. Soc. Math. de Belgique, vol. 40 , série A, 1988, pp.
281-286
- Vandermonde and Wronskian matrices over division rings,
with T.Y. LAM
Journal of algebra, vol.119, n° 2, décembre 1988, pp. 308-336
- Invariant and semi-invariant polynomials in skew
polynomial rings, in collaboration with T.Y. LAM, K.H.LEUNG, J. MATCZUK,
in « ring theory 1989 » (in honour of S.A. AMITSUR), ed. L. ROWEN, Israel Mathematical conference
proceedings, pp. 153-203, Kluwer Academic Publishers.
- Gelfand-Kirillov dimension of certain localizations,
with J. MATCZUK.
Archi. der Math. Vol. 53 , 439-447 (1989)
- Prime ideals of Ore extensions, with J. MATCZUK.
Communications in algebra, 19(7), 1893-1907 (1991)
- Homomorphisms between Ore extensions, with T.Y. LAM.
Contemporary Mathematics Vol. 124 , 83-110 (1992)
- The extended centroid and X-inner automorphism of Ore
extensions, with J. MATCZUK.
Journal of algebra, vol. 145 , 143-177, n° 1, January 1992
- Hilbert 90 theorems over division rings, with T.Y. LAM
Transactions of the American Mathematical Society, vol.
345, 595-622, n° 2, October 1994
- Normes et theorems 90 d’Hilbert
paru dans “note di informatica I fisica” CERFIM LOCARNO,
vol. 7 , décembre 1994, pp. 197-200
- Structure et arithmétique des extensions de Ore , mémoire
présenté en vue d’obtenir l’habilitation à diriger des recherches.
- Pseudo linear transformation and evaluation in Ore
extensions
Bull. Soc. Math. Belg. Vol. 2, n° 3, May 1995, 321-347
- Primitivity of skew polynomial and skew Laurent
polynomial rings, with J. MATCZUK
Communications in Algebra, 24(7), 1996, pp. 2271-2284
- Recognition and Computations of Matrix Rings,
en collaboration avec T.Y. LAM
Israel Journal of Mathematics 96, 1996, pp. 379-397
- Primeness, semi-primeness and prime radical of Ore
extensions » with T.Y. LAM and J. MATCZUK
Communications in Algebra, 25 (8), 1997, pp. 2459-2506
- On uniform dimensions of ideals in right non-singular
rings » with S.K. JAIN and T.Y. LAM
Journal of Pure and Applied Algebra, décembre 1998
- Principal One-sided Ideals in Ore Polynomial Rings » with T.Y. LAM,
Contemporary Math., 259, 2000,pp. 333-352
- Artinian property of constants of algebraic q-skew
derivations » with P. GRZESZCZUK and J. MATCZUK
Israel journal of mathematics 121 (2001), 265-284
- Wedderburn polynomials over division rings, I » with T.Y.LAM
Journal of Pure and Applied Algebra, 186 (2004) 43-76. 26
- F-indépendence and factorizations in 2-firs » ,en collaboration avec Adem Ozturk
Communications in Algebra, Vol. 32 (5) (2004), 1763-1792.
- On induced Modules over Ore extensions, en collaboration avec J. Matczuk
Communications in Algebra, 32 (2004), 2743-2766
- Goldie conditions for Ore extensions over semiprime rings, en collaboration avec J. Matczuk,
Algebras and Representation Theory, 8, (2005), 679-688.
- Ore Extensions Satisfying a Polynomial Identity, en collaboration avec J. Matczuk
Journal of Algebra and Its Applications, 5, (3) (2006), 287-306.
- Noncommutative symmetric functions and Wedderburn polynomials,
en collaboration avec Jonathan Delenclos
Journal of Algebra and its Applications, 6 (5) (2007), 815-837
- Wedderburn polynomials over division rings, II » collaboration avec T.Y. LAM and
A. Ozturk
Proceedings of a conference held in Chennai at the Ramanujan Institute (Indes)
Contemporary mathematics (456) 2008, pp. 73-98
- Quasi duo skew polynomial rings, en collaboration avec J. Matczuk et E. Puczylowski.
Journal of Pure and Applied Algebra; Volume 212, Issue 8, August 2008, Pages 1951-1959
- Ore extensions and V-domains, en collaboration avec S.K. Jain et T.Y.Lam
Proceedings of a conference in honour of C. Faith, B. Osofsky, Contemporary Mathematics 480, 2009, pp 249-262
- A description of Quasi duos Z graded rings, en collaboration avec J.Matczuk et E. Puczylowski
Communications in Algebra, Volume 38, Issue 4, 2010, Pages 1319 – 1324.
- Rings over which Cyclics are direct sums of projective and CS or noetherian, with S.K. Jain et C. Holston
Glasgow Mathematical Journal Vol 52, 2010, pp 103-110.
- On q-skew Ore extensions satisfying a Polynomial Identity, with J. Matczuk
journal of Algebra and its Applications, Volume 10, Issue 04, August 2011
- ADS modules, with Adel Alahmadi and S.K. Jain
Journal of Algebra Vol. 352 (1) Pages 215-222, 2012; PDF
- Noncommutative polynomial maps,
Journal of Algebra and its Applications Volume 11, Issue 04, 2012; PDF
- Ring Endomorphisms with large images, with J. Matcuk
Glasgow mathematical journal, Vol. 55, Issue 02, 2013, pp 381-390; PDF
- (Sigma, Delta) codes, avec M'Hammed Boulagouaz
Advances in Mathematics of Communications Vol. 7, 2013; PDF
- Idempotents in extensions of rings, with P. Kanwar et J Matczuk
Journal of Algebra, Volume 389, 1 September 2013, Pages 128-136; PDF
- Decomposition of singular matrices into idempotents, with Adel Alahmadi et S.K. Jain
Linear and multilinear algebra, Volume 62, Issue 1, 2014; PDF
- Right strongly McCoy Rings, avec J. Matczuk
Contemporary Mathematics, Vol 609, 2014; PDF
- Euclidean pairs and quasi euclidean rings, with A. Alahmadi, T.Y.Lam and S.K. Jain
Journal of Algebra, Volume 406, 15 May 2014, Pages 154-170; PDF
- Clean elements in polynomial rings, with P.Kanwar and J. Matczuk
Contemporary math. Vol 634 PDF
- Chains of prime ideals and primitivity of $\mathbb{Z}$-graded algebras, with B. Greenfeld A. Smoktunowicz and M. Ziembowski
Algebra and representation theory, January 2015 PDF
- Leapfrog Constructions: From Continuant Polynomials to Permanents of Matrices, with Alberto Facchini
The Electronic Journal of Combinatorics Volume 22, Issue 1 (2015) PDF
- Decompositions into products of idempotents, With A. Alahmadi, S.K. Jain and A. Sathaye
Electronic Journal of Linear Algebra, Vol. 29, 2015. PDF
- Euclidean Self dual codes over noncommutative Frobenius rings, en collaboration avec S. Dougherty,
Applicable Algebra in Engineering, Communication and Computing, 2015 PDF
- Zip property of certain ring extensions, with J. Matczuk
Journal of Pure and Applied Algebra, Volume 220, Issue 1, 2016, Pages 335–345 PDF
- Exponents of skew polynomial rings, en collaboration avec Ahmed Cherchem,
Finite Fields and their Applications, Vol.37, 2016 PDF
- Long module skew codes are good, en collaboration avec Alahmadi et Sole,
Discrete Mathematics, Vol. 339, 2016. PDF .
- Elementary matrices and products of idempotents, en collaboration avec Alberto Facchini,
Accepted for publication in Linear and multilinear algebra, 2016.
En cours ou soumis, en vrac:
- Skew sequences, en collaboration avec A. Cherchem.
- The duality and the direction of polycyclic codes, en collaboration avec S. Dougherty et P. Solé.
- Rings with particular units groups., en collaboration avec T. Kosan, A. Leroy, J. matczuk.
- On the duality and the direction of polycyclic codes.
- Decomposotion of stochastics matrices, with A. Alahmadi and S.K. Jain.
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