back home   Recent Articles by CARL Members

(For some articles, preprints or reprints are available upon request)

1.      M. Fontana, L. Izelgue, S. Kabbaj, F. Tartarone, Polynomial closure in essential domains and pullbacks, Lect. Notes Pure Appl. Math. Dekker 205 (1999) 307-321. [PDF]

2.      S. Bouchiba, F.Girolami, S. Kabbaj, The dimension of tensor products of k-algebras arising from pullbacks, Journal of Pure and Applied Algebra 137 (2) (1999) 125-138. [PDF]

3.      J. Abuhlail, J. Gomez-Torrecillas, R. Wisbauer, Dual coalgebras of algebras over commutative rings, Journal of Pure and Applied Algebra 153(2) (2000) 107-120. [PDF]

4.      E. Houston, S. Kabbaj, T. Lucas, A. Mimouni, When is the dual of an ideal a ring ?, Journal of Algebra 225 (1) (2000) 429-450.

5.      J. Abuhlail, J. Gomez-Torrecillas, J. L. Borrero, Duality and rational modules for Hopf algebras over commutative rings, Journal of Algebra 240 (1) (2001) 165-184. [PDF]

6.      S. El-Baghdadi, L. Izelgue, S. Kabbaj, On the class group of a graded domain, Journal of Pure and Applied Algebra 171 (2-3) (2002) 171-184. [PDF]

7.      S. Bouchiba, S. Kabbaj, Tensor products of Cohen-Macaulay rings. Solution to a problem of Grothendieck, Journal of Algebra 252 (2002) 65-73. [PDF]

8.      S. Bouchiba, D. Dobbs, S. Kabbaj, On the prime ideal structure of tensor products of algebras, Journal of Pure and Applied Algebra 176 (2002) 89-112. [PDF]

9.      A. Mimouni, Star operations and trace properties, International Journal of Commutative Rings 1 (2) (2002) 77-93.

10.  J. Abuhlail, Rational modules for corings, Communications in Algebra 31 (12) (2003) 5793-5840. [PDF]

11.  S. Kabbaj, N. Mahdou, Trivial extensions of local rings and a conjecture of Costa, Lect. Notes Pure Appl. Math. Dekker 231 (2003) 301–311. [PDF]

12.  S. Kabbaj, T. Lucas, A. Mimouni, Trace properties and pullbacks, Communications in Algebra 31 (3) (2003) 1085-1111. [PDF]

13.  S. Kabbaj, A. Mimouni, Class semigroups of integral domains, Journal of Algebra 264 (2003) 620-640. [PDF]

14.  A. Mimouni, TW-domains and strong Mori domains, Journal of Pure and Applied Algebra 177 (1) (2003) 79-93.

15.  A. Mimouni, M. Samman, Semistar-operations on valuation domains, International Journal of Commutative Rings 2 (3) (2003) 131-141.

16.  J. Abuhlail, On linear difference equations over rings and modules, International Journal of Mathematics and Mathematical Sciences 2004 (5) (2004) 239-258. [PDF]

17.  J. Abuhlail, On coreflexive coalgebras and comodules over commutative rings, Journal of Pure and Applied Algebra 194 (1-2) (2004) 1-38. [PDF]

18.  S. Kabbaj, N. Mahdou, Trivial extensions defined by coherent-like conditions, Communications in Algebra 32 (10) (2004) 3937--3953. [PDF]

19.  M. Fontana, S. Kabbaj, Essential domains and two conjectures in dimension theory, Proceedings of the American Mathematical Society 132 (2004) 2529--2535. [PDF]

20.  A. Mimouni, Prüfer-like conditions and pullbacks,  Journal of Algebra 279 (2) (2004) 685-693

21.  J. Abuhlail, Morita contexts for corings and equivalences, Lecture Notes in Pure and Applied Mathematics, Dekker 239 (2005) 1-20. [PDF]

22.   J. Abuhlail, On the linear weak topology and dual pairings over rings, Topology and its Applications 149 (1-3) (2005) 161-175. [PDF]

23.  J. Abuhlail, Dual entwining structures and dual entwined modules, Algebras and Representation Theory 8 (2) (2005) 275-295. [PDF]

24.  J. Abuhlail, Duality theorems for crossed products over rings, Journal of Algebra 288 (1) (2005) 212–240. [PDF]

25.  J. Abuhlail, Hopf pairings and (co)induction functors over commutative rings, Journal of Algebra and its Applications 4 (4) (2005) 369-404. [PDF]

26.  J. Abuhlail, A note on coinduction functors between categories of comodules for corings, Annali dell'Universita' di Ferrara, sez. VII, Scienze Matematiche LI (2005) 151-172. [PDF]

27.  A. Mimouni,  Integral domains in which each ideal is a w-ideal, Communications in Algebra 33 (2005) 1345-1355.

28.  A. Mimouni and M. Samman, On the cardinality of semistar operations on integral domains, Communications in Algebra 33 (2005) 3311-3321.

29.  A. Mimouni, Semistar operations of finite character on integral domains, Journal of Pure and Applied Algebra 200 (1-2) (2005) 37-50.

30.  S. Kabbaj, On the dimension theory of polynomial rings over pullbacks, Multiplicative Ideal Theory in Commutative Algebra, Springer, pp. 263–277, 2006. [PDF]

31.  N. Mahdou, A. Mimouni, H. Mouanis, The (n,d)-Krull property over domains arising from pullbacks, Communications in Algebra 34 (6) (2006) 2281-2286.

32.  J. Abuhlail, Fully Coprime Comodules and Fully Coprime Corings, Applied Categorical Structures 14 (2006) 379-409 [PDF]

33.  S. Kabbaj, A. Mimouni, t-Class semigroups of integral domains, J. Reine Angew. Math. 612 (2007) 213-229 [PDF]

34.  A. Mimouni,  Condensed and strongly condensed domains, Canadian Math. Bulletin 51 (3) (2008), 406-412.

35.  A. Mimouni, Note on Star Operations over Polynomial Rings, Communications in Algebra, 36 (11) (2008), 4249-4256.

36.  J. Abuhlail, A Zariski topology for bicomodules and corings, Applied Categorical Structures 16 (1-2) (2008), 13-28.

37.  J. Abuhlail and S. K. Nauman, Injective Morita Contexts (Revisited), T. Brzeziński (ed.) et al., Modules and Comodules. Birkhäuser. Trends in Mathematics, pp. 1-30, (2008).

38.  S. Bouchiba and S. Kabbaj, Bouvier's conjecture, Commutative Algebra and its Applications, W. de Gruyter, Berlin, pp. 79–88, (2009).

39.  S. Kabbaj and A. Mimouni, t-Class semigroups of Noetherian domains, Commutative Algebra and its Applications, W. de Gruyter, Berlin, pp. 283–290, (2009).

40.  S. Kabbaj and A. Mimouni, Constituent groups of Clifford semigroups arising from t-closure, Journal of Algebra 321 (2009) 1443–1452

41.  A. Mimouni, On the Set of t-Linked Overrings of an Integral Domain, Manuscripta Math. 128 (2) (2009), 147-162.

42.  A. Mimouni, Krull dimension, Overrings and Semistar operations of an integral Domain, Journal of Algebra, 321 (2009), 1497-1509.

43.  A. Mimouni, Ratliff-Rush Closure of Ideals in Pullback and Polynomial Rings, Communications in Algebra, 37 (2009), 3044-3053.

44.  A. Mimouni, Ratliff-Rush Closure of Ideals in Integral Domains, Glasgow Mathematical Journal, 51 (2009), 681-689.

45.  E. Houston and A. Mimouni, On the divisorial Spectrum of a Noetherian Domain, Journal of Pure and Applied Algebra, 214 (2010), 45-52.

46.  C. Bakkari, S. Kabbaj and N. Mahdou, Trivial extensions defined by Prüfer conditions, Journal of Pure and Applied Algebra 214 (2010) 53–60.

47.  A. Mimouni and M. Samman, Characterizations of Integral Domains via Semistar Operations, Communications in Algebra, to appear.

48.  N. Mahdou and A. Mimouni, Well-Centered Overrings of a Commutative Ring in Pullbacks and Trivial Extensions, Rocky Mountain Journal of Mathematics, to appear.

49.  A. Mimouni, On the Prime Spectrum of an Integral Domain with finite Spectral Semistar Operations, Algebra Colloquium, to appear.

50.  A. BenObaid and A. Mimouni, Duals and Transforms of Ideals in PVMDs (with A. BenObaid), Communications in Algebra, to appear.