Publications :

[1]

n-Coherent rings and modules (with D. Dobbs and S. Kabbaj), Dekker Lect. Notes Pure

Appl. Math. 185 (1997) 269-281.

[2]

When is D+M n-coherent and an (n,d)-domain? (with D. Dobbs, S. Kabbaj and M. Sobrani), Dekker Lect. Notes Pure Appl. Math. 205 (1999) 257-270.

[3]

Hermite and weakly semi-Steinitz properties in pullbacks (with A. Bouanane), Dekker Lect.

Notes Pure Appl. Math. 205 (1999) 133-143.

[4]

On Costas Conjecture, Communications in Algebra 29 (7) (2001) 2775-2785

[5]

Steinitz properties in trivial extensions of commutative rings, The Arabian Journal for Science

and Engineering, Theme issues Commutative Algebra, Volume 26, N 1C (2001), 119-125.

[6]

On the Clifford Algebra of a diagonal binary and cubic form, The Arabian Journal for Science

and Engineering, Theme issues Algebra and its Applications, Volume 27, N 1A January

(2002), 109-114.

[7]

On projective modules over polynomial rings (with Y. Lequain), Dekker Lect. Notes Pure

Appl. Math. 231 (2003) 335-348.

[8]

Trivial extensions of local rings and a conjecture of Costa (with S. Kabbaj), Dekker Lect.

Notes Pure Appl. Math. 231 (2003) 301-312.

[9]

On (n,d)-Krull rings, Communications in Algebra 31 (3) (2003) 1139-1146.

[10]

On (n,d)-rings, Comptes rendus de la premiere  recontre maroco-andalouse sur les algèbres et leurs applications (Tetouan, 2001), Univ. Abdelmalek Essaâdi. Fac. Sci. Tetouan, TetouanMorocco, (2003) 181–187. MR2030662

[11]

Some homological properties of subring retract and applications to fixed rings (with H. Mouanis), Communications in Algebra 32 (5) (2004) 1823-1834.

[12]

Trivial extensions defined by coherent-like conditions (with S. Kabbaj), Communications in Algebra 32 (10) (2004) 3937-3953.

[13]

On weakly finite conductor rings, Communications in Algebra 32 (10) (2004) 4027-4036.

[14]

On 2-Von Neumann regular rings, Communications in Algebra 33 (10) (2005) 3489-3496

[15]

Classes of rings defined by special conditions, Communications in Algebra 33 (11) (2005) 3989-3995.

[16]

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

[17]

Gaussian polynomials and content ideal in pullbacks (with C. Bakkari), Communications in Algebra 34 (8) (2006) 2727-2732.

[18]

n-flat modules and n-Von Neumann regular rings, International Journal of Mathematics and Mathematical Sciences, ID 90868, (2006) 1–6.

[19]

On P-coherent rings, African Diaspora Journal of Mathematics, Nova Science Publishers Inc. Vol. 4 (1), 27-33 (2007).   

[20]

Strongly Gorenstein projective, injective, and flat modules (with D. Bennis), Journal of Pure and Applied Algebra, 210 (2007) 437-445.

[21]

Prüfer-Like Conditions in Subrings Retract and Applications (with C. Bakkari and H. Mouanis), Communications in Algebra 37 (1) (2009) 47-55.

[22]

Global Gorenstein Dimensions and Cotorsion Dimension of Rings (with D. Bennis), Communications in Algebra 37 (5) (2009) 1709-1718.

[23]

On n-perfect rings and Cotorsion Dimension (with D. Bennis), Journal of Algebra and its Applications, Vol. 8 (2), (April 2009) 181-190.

[24]

 A generalization of strongly Gorenstein projective, injective, and flat modules (with D. Bennis), Journal of Algebra and its Applications, Vol. 8 (2), (April 2009) 219-242

[25]

 Prüfer-like conditions in pullbacks (with C. Bakkari), Commutative Algebra and Applications, Walter De Gruyter, (2009) 41-48.

[26]

 n-Perfectness in pullbacks (with D. Bennis), Commutative Algebra and Applications, Walter De Gruyter, (2009) 61-68.

[27]

 On (n,d)-perfect rings (with A. Jhilal), Commutative Algebra and Applications, Walter De Gruyter, (2009) 275-284.

[28]

Gorenstein dimensions in trivial ring extensions (with K. Ouarghi), Commutative Algebra

and Applications, Walter De Gruyter, (2009) 293-302.

[29]

On Gaussian polynomials and content ideal (with C. Bakkari), Contribution to Algebra and Geometry, Vol. 50 (2), 425-431 (2009).

[30]

 On Armendariz Rings (with C. Bakkari), Contribution to Algebra and Geometry, Vol. 50 (2), 363-368 (2009).

[31]

Global Gorenstein Dimensions of Polynomial rings and direct product of rings (with D. Bennis), Houston Journal of Mathematics, Vol. 25 (4), (2009), 1019-1028.

[32]

On strong n-perfect and (n,d)-perfect rings (with A. Jhilal), African Diaspora Journal of Mathematics, Nova Science Publishers Inc. Vol. 9 (1), (2010), 1-7.

[33]

Homological dimensions of the amalgamated duplication of a ring along a pure ideal, (with M. Chhiti), African Diaspora Journal of Mathematics, Nova Science Publishers Inc. Vol. 10 (1), (2010), 1-6.

[34]

 Global Gorenstein Dimensions (with D. Bennis), Proceeding of The American Mathematical Society, Vol. 138 (2), (February 2010), 461-465.

[35]

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

[36]

When every Gorenstein projective (resp. flat) module is strongly Gorenstein projective (resp. flat), (with M. Tamekkante), Communications in Mathematics and Applications, Vol. 1 (1), (2010), 15-25

[37]

The v-coherence and weakly finite conductor properties of fixed rings (with C. Bakkari and H. Mouanis), International Journal of Modern Mathematics, Vol. 5 (1), (2010), 83 - 90.

[38]

 On Strongly n-Perfect Rings (with A. Jhilal), Communications in Algebra, 38 (3) (2010) 1057 - 1065.

[39]

Sufficient condition to resolve Costa’s first conjecture, Communications in Algebra 38 (3) (2010) 1066 - 1074.

[40]

Rings over which all modules are Gorenstein (resp., strongly Gorenstein) projective (with D. Bennis and K. Ouarghi), Rocky Mountain Journal of Mathematics, Vol. 40 (3) (2010) 749- 759.

[41] 

First, second, and third change of rings theorems for the Gorenstein homological dimensions (with D. Bennis), Communications in Algebra 38 (10) (2010) 3837 - 3850.

[42] 

IF-Dimension of Modules, (with M. Tamekkante), Communications in Mathematics and Applications, Vol. 1 (2), (2010), 99-104.

[43]  

On Armendariz-like properties, (with F. A. Almahdi), African Diaspora Journal of Mathematics, Nova Science Publishers Inc. Vol. 11 (1), (2011), 40-47.

[44] 

On weakly Von-Neumann rings, (with M. Kabbour), International Journal of Open Problems in Computer Science and Mathematics, Vol. 4, No. 1, March 2011, 15-23.

[45] 

On valuations rings (with M. Kabbour), Communications in Algebra, 39 (1) (2011) 176 -183.

[46] 

On (Strongly) Gorenstein (Semi)-Hereditary rings, (with M. Tamekkante), (The Arabian Journal for Science and Engineering), Arab J Sci Eng (Springer) (2011) 36: 431440.

[47] 

The orthogonal complement relative to the functor extension of the class of all Gorenstein flat modules (with M. Tamekkante), Adv. Pure Appl. Math. 2 (Walter De Gruyter) (2011), 133-145.

[48] 

Right Gorenstein global dimension of an (almost) excellent extension, (with M. Tamekkante),

Asian-European Journal of Mathematics, Vol. 4, No. 1 (2011) 109-115.

[49] 

On weakly semihereditary rings, (with F. A. Almahdi), Int. J. Open Problems Compt. Math., Vol. 4, No. 2, (June 2011) 38-49.

[50] 

Gorenstein global dimension of an amalgamated duplication of a coherent ring along an ideal, (with M. Tamekkante), Mediterranean Journal of Mathematics (Springer), Vol. 8, (2011) 293 - 305.

[51] 

 On (Strongly) Gorenstein Von Neumann regular rings, (with M. Tamekkante and S. Yassemi), Communications in Algebra, 39 (9) (2011) 32423252.

[52] 

Strongly Gorenstein flat modules and dimensions, (with M. Tamekkante), Chinese Annals of Mathematics Ser.B, 32 B(4) (2011) 533 - 548.

[53] 

On an amalgamated duplication of a ring along an ideal which are Quasi-Frobenius, (with M. Tamekkante), Contribution to Algebra and Geometry (Springer), 52. No. 2 (2011), 343- 347.

[54] 

 Amalgamation of rings defined by Bezout-like conditions, (with M. Kabbour), Journal of Algebra and its Applications, Vol. 10 (2011) 1343 - 1350.

[55] 

On strong (A)-rings, (with A. Rahmouni Hassani), Mediterranean Journal of Mathematics (Springer), No. 2, Vol. 9 (2012), 395-405.

[56] 

On FF-Rings, (with S. ElBaghdadi and A. Jhilal), Journal of Pure and Applied Algebra 216 (2012) 71-76.

[57] 

Some homological properties of amalgamated duplication of a ring along an ideal, (with M. Chhiti), Bulletin of the Iranian Mathematical Society (BIMS), Vol. 38 No. 2 (2012) 507-515

[58] 

Transfer of multiplication-like conditions in amalgamated algebra along an ideal, (with K. Louartiti), African Diaspora Journal of Mathematics, Volume 14, Number 1, (2012), 119125.

[59] 

Well-centered overrings of a commutative ring in pullbacks and trivial extensions (with A. Mimouni), Rocky Mountain Journal of Mathematics, Vol. 42 (1) (2012) 223-234.

[60] 

On G-(n,d)-rings (with K. Ouarghi), Rocky Mountain Journal of Mathematics, Vol. 42 (3) (2012) 999-1013.

[61] 

On weakly Noetherian rings, (with A. Rahmouni Hassani), Rendiconti del Seminario Matematico dell’Universita’ e Politecnico di Torino, Vol. 70 (3) (2012), 289-296.

[62] 

Rings over which all (finitely generated strongly) Gorenstein projective modules are projective, (with K. Ouarghi), International Journal of Open Problems in Computer Science and Mathematics, Vol. 6, No. 3, September, (2013), 62-72.

 

[63] 

On P-Weakly semihereditary rings, (with F. A. A. Almahdi), Journal of Advanced Research in Pure Mathematics, Vol. 5, Issue. 2, (2013) 95-104.

 

[64] 

When every principal ideal is flat, (with F. Cheniour), Portugaliae Mathematica, European Mathematical Society, Vol. 70, Fasc. 1 (2013), 51-58.

 

[65] 

Coherent power series ring and weak Gorenstein global dimension, (with M. Tamekkante and S. Yassemi), Glasgow Mathematical Journal, Vol. 55, (2013), 533-536.

 

[66] 

On (weak) Gorenstein global dimensions, (with M. Tamekkante), Acta Mathematica Univer-

sitatis Comenianae, Vol. 82, (2013) 285-296.

 

[67] 

Trivial ring extensions defined by arithmetical-like properties, (with M. Kabbour and A. Mimouni), Communications in Algebra, 41 (12) (2013) 4534-4548.

 

[68] 

When every flat ideal is finitely projective, (with F. Cheniour), Arabian Journal of Mathematics (Springer), (2) (2013) 255-261.

 

[69] 

Amalgamated algebra extensions defined by Von Neumann regular and SFT conditions, (with

K. Louartiti), Gulf Journal of Mathematics, Vol. 2 (2013), 19.

 

[70] 

Self injective amalgamated duplication of a ring along an ideal, (with M. Chhiti and M. Tamekkante), Journal of Algebra and Its Applications, Volume 12, Issue 07, November (2013).

 

[71] 

On n-strongly Gorenstein rings, (with M. Tamekkante), Gulf Journal of Mathematics, Vol. 1 (2014), 1-4

 

[72] 

When every flat ideal is projective, (with F. Cheniour), Comment. Math. Univ. Carolin., Vol. 55 (1) (2014

1-7.

 

[73] 

Arithmetical property in amalgamated algebras along an ideal, (with M. Kabbour), Palestine Journal of Mathematics, Vol. 3(Spec 1) (2014), 395-399.

 

[74] 

On weakly coherent rings, (with C. Bakkari), Rocky Mountain Journal of Mathematics, Volume 44, Number 3, (2014), 743–752.

 

[75] 

When every P-flat ideal is flat, (with F. Cheniour), Bulletin of the Iranian Mathematical Society, 40 (no. 3) (2014), 677-688.

 

[76] 

On pm-rings, rings of finite character and h-local rings , (with A. Mimouni and M. A. Moutui), Journal of Algebra and Its Applications, 13 (no. 6), (2014), 1450018, 11 pp.

 

[77] 

Rings in which every homomorphic image satisfy (strong) Property(A), (with K. Louartiti), Gulf Journal of Mathematics, Vol. 8 (2015), 2329.

 

[78] 

On Gorenstein global dimension of tensor product of algebras over a field, (with M. Tamekkante), Gulf Journal of Mathematics, Vol. 8 (2015), 3037.

 

[79] 

Power of maximal ideal, (with M. Zennayi), Palestine Journal of Mathematics, Vol. 4(2) (2015), 17.

 

[80] 

Prüfer-like conditions in the amalgamated duplication of a ring along an ideal, (with M. Chhiti, M. Jarrar and S. Kabbaj), Communications in Algebra, 43 (2015) No. 1, 249-261.

 

[81] 

On almost valuation and almost Bézout rings, (with A. Mimouni and M. A. Moutui), Communications in Algebra, 43 (2015) No. 1, 297-308.

 

 Accepted Articles for publication

[82] 

On Steinitz-like conditions, (with H. Mouanis), Journal of Taibah University for Science (Elsevier), Accepted for publication.

[83] 

Amalgamated algebras along an ideal defined by Gaussian condition, (with M. A. Moutui), Journal of Taibah University for Science (Elsevier), Accepted for publication.

[84] 

Finite conductor property in amalgamated algebra along an ideal, (K. Alaoui Ismaili), Journal of Taibah University for Science (Elsevier), Accepted for publication.

[85] 

On adequate rings, (with M. Zennayi), Journal of Taibah University for Science (Elsevier), Accepted for publication.

[86] 

Clean property in Amalgamated algebras along an ideal, (with M. Chhiti, M. Tamekkante), Hacettepe Journal of Mathematics and Statistics, Accepted for publication.

[87] 

On rings over which every P-flat ideal is singly projective, (with F. Cheniour), International Electronic Journal of Algebra (IEJA), Accepted for publication.

[88] 

Coherence in amalgamated algebra along an ideal, (with K. Alaoui Ismaili), Bulletin of the Iranian Mathematical Society, Accepted for publication.

[89] 

About some flatness properties over commutative rings, (with F. Cheniour), Acta Mathematica Hungarica, Accepted for publication.

[90] 

On (n,d)- property in amalgamated algebra, (with K. Alaoui Ismaili), Asian-European Journal of Mathematics, Accepted for publication.

[91] 

fqp-property in amalgamated algebras along an ideal, (with M. A. Moutui), Asian-European Journal of Mathematics, Accepted for publication.

[82] 

On Steinitz-like conditions, (with H. Mouanis), Journal of Taibah University for Science (Elsevier), Accepted for publication.

[83] 

Amalgamated algebras along an ideal defined by Gaussian condition, (with M. A. Moutui), Journal of Taibah University for Science (Elsevier), Accepted for publication.

[84] 

Finite conductor property in amalgamated algebra along an ideal, (K. Alaoui Ismaili), Journal of Taibah University for Science (Elsevier), Accepted for publication.

[85] 

On adequate rings, (with M. Zennayi), Journal of Taibah University for Science (Elsevier), Accepted for publication.

[86] 

Clean property in Amalgamated algebras along an ideal, (with M. Chhiti, M. Tamekkante), Hacettepe Journal of Mathematics and Statistics, Accepted for publication.

[87] 

On rings over which every P-flat ideal is singly projective, (with F. Cheniour), International Electronic Journal of Algebra (IEJA), Accepted for publication.

[88] 

Coherence in amalgamated algebra along an ideal, (with K. Alaoui Ismaili), Bulletin of the Iranian Mathematical Society, Accepted for publication.

[89] 

About some flatness properties over commutative rings, (with F. Cheniour), Acta Mathematica Hungarica, Accepted for publication.

[90] 

On (n,d)- property in amalgamated algebra, (with K. Alaoui Ismaili), Asian-European Journal of Mathematics, Accepted for publication.

[91] 

fqp-property in amalgamated algebras along an ideal, (with M. A. Moutui), Asian-European Journal of Mathematics, Accepted for publication.

Books

[92] 

Najib Mahdou: Introduction à l’Algèbre Homologique, I.S.B.N : 978 9954 32 910 8, (Première  édition : 2013) IPNPUB Fez, Morocco.

[93]

Proceeding of the International Workshop on Algebra and Applications” in ”Gulf Journal of Mathematics”, Volume 3, No 2 (2015) : Editor (with A. Kaidi, L. Oukhtite and M. Samman).

 

N. MAHDOU