Dr. Najib Mahdou
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Dr. Najib Mahdou

Professor
University of Fez, Morocco


Highest Degree
Ph.D. in Commutative and Homological Algebra from University of Fez, Fez, Morocco

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Area of Interest:

Mathematics
100%
Commutative Algebra
62%
Classical Homological Algebra
90%
Gorenstein Homological Algebra
75%
Associative Algebra
55%

Research Publications in Numbers

Books
0
Chapters
14
Articles
161
Abstracts
0

Selected Publications

  1. Mahdou, N. and M.A.S. Moutui, 2019. Prüfer property in amalgamated algebras along an ideal. Ricerche Matematica, (In Press). 10.1007/s11587-019-00451-1.
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  2. El Ouarrachi, M. and N. Mahdou, 2019. Power serieswise Armendariz property in amalgamated algebra. Bull. Iran. Math. Soc., 45: 23-33.
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  3. El Khalfi, A. and N. Mahdou, 2019. Almost Bézout rings and almost GCD-rings. Asian-Eur. J. Math. (In Press). 10.1142/S1793557120501077.
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  4. El Khalfaoui, R. and N. Mahdou, 2019. On rings with adequate range one. Indian J. Math., 61: 281-293.
  5. Dobbs, D.E., A. El Khalfi and N. Mahdou, 2019. Trivial extensions satisfying certain valuation-like properties. Commun. Algebra, 47: 2060-2077.
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  6. Badawi, A., M. Issoual and N. Mahdou, 2019. On n-absorbing ideals and (m,n)-closed ideals in trivial ring extensions of commutative rings. J. Algebra Applic., Vol. 18, No. 07. 10.1142/S0219498819501238.
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  7. Ouarrachi, M.E. and N. Mahdou, 2018. Coherence in Bi-amalgamated algebras along ideals. Springer Proc. Math. Stat., 228: 127-138.
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  8. Mahdou, N. and M.A.S. Moutui, 2018. On (A)-rings and strong (A)-rings issued from amalgamations. Stud. Scient. Math. Hung., 55: 270-279.
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  9. Mahdou, N. and M. Tamekkante, 2018. Strongly n-gorenstein projective, injective and flat modules. Acta Math. Univ. Comeniana, 87: 35-53.
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  10. Issoual, M. and N. Mahdou, 2018. Trivial extensions defined by 2-absorbing-like conditions. J. Algebra Applic., Vol. 17, No. 11. 10.1142/S0219498818502080.
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  11. El Ouarrachi, M. and N. Mahdou, 2018. On power serieswise Armendariz rings. Palestine J. Math., 7: 79-87.
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  12. Bouba, E.M., N. Mahdou and M. Tamekkante, 2018. Duplication of a module along an ideal. Acta Mathematica Hungarica, 154: 29-42.
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  13. Mahdou, N., A. Mimouni and M. El Ouarrachi, 2017. On armendariz-like properties in amalgamated algebras along ideals. Turk. J. Math., 41: 1673-1686.
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  14. Mahdou, N., 2017. About G-rings. Comment. Math. Univ. Carolin., 58: 13-18.
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  15. Mahdou, N. and M. Zennayi, 2017. On Henriksen rings. J. Algebra Applic., Vol. 16, No. 3. 10.1142/S021949881750058X.
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  16. Mahdou, N. and K.A. Ismaili, 2017. n-coherence property in amalgamated algebra along an ideal. Acta Math. Univ. Comenianae, 86: 59-72.
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  17. Kabbaj, S., N. Mahdou and M.A.S. Moutui, 2017. Bi-amalgamations subject to the arithmetical property. J. Algebra Applic., Vol. 16. 10.1142/S021949881750030X.
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  18. Ismaili, K.A., D.E. Dobbs and N. Mahdou, 2017. Commutative rings and modules that are Nil*-coherent or special Nil*-coherent. J. Algebra Applic., Vol. 16, No. 10. 10.1142/S0219498817501870.
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  19. Ismaili, K.A. and N. Mahdou, 2016. On (n, d)-property in amalgamated algebra. Asian Eur. J. Math., .
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  20. Ismaili, K.A. and N. Mahdou, 2016. On (n,d)-property in amalgamated Algebra. Asian-Eur. J. Math., Vol. 09, No. 01. 10.1142/S1793557116500145.
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  21. Chhiti, M., M. Jarrar, S. Kabbaj and N. Mahdou, 2016. Prufer conditions in an amalgamated duplication of a ring along an ideal. Commun. Algebra, 43: 249-261.
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  22. Mahdou, N., A. Mimouni and M.A. Salam Moutui, 2015. On Almost Valuation and Almost Bezout Rings. Commun. Algebra, 43: 297-308.
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  23. Mahdou, N. and M.A.S. Moutui, 2015. fqp-Property in amalgamated algebras along an ideal. Asian-Eur. J. Math., Vol. 08, No. 03. 10.1142/S1793557115500503.
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  24. Mahdou, N. and M.A.S. Moutui, 2015. Amalgamated algebras along an ideal defined by Gaussian condition. J. Taibah Univ. Sci., 9: 373-379.
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  25. Mahdou, N. and M. Zennayi, 2015. Power of maximal ideal. Palestine J. Math., 4: 251-257.
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  26. Mahdou, N. and M. Zennayi, 2015. On adequate rings. J. Taibah Univ. Sci., 9: 320-325.
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  27. Mahdou, N. and M. Tamekkante, 2015. On Gorenstein global dimension of tensor product of algebras over a field. Gulf J. Math., 8: 30-37.
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  28. Mahdou, N. and H. Mouanis, 2015. On Steinitz-like conditions. J. Taibah Univ. Sci., 9: 340-345.
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  29. Louartiti, K. and N. Mahdou, 2015. Rings in which every homomorphic image satisfy (strong) property(A). Gulf J. Math., 8: 23-29.
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  30. Ismaili, K.A. and N. Mahdou, 2015. Finite conductor property in amalgamated algebra along an ideal. J. Taibah Univ. Sci., 9: 332-339.
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  31. Ismaili, K.A. and N. Mahdou, 2015. Coherence in amalgamated Algebra along an ideal. Bull. Iran. Math. Soc., 41: 625-632.
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  32. Chhiti, M., N. Mahdou and M. Tamekkante, 2015. Clean property in amalgamated algebras along an ideal. Hacettepe J. Math. Stat., 44: 41-49.
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  33. Cheniour, Fatima, and N. Mahdou, 2015. On rings over which every p-flat ideal is singly projective. Int. Electron. J. Algebra, 18: 46-56.
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  34. Cheniour, F. and N. Mahdou, 2015. On some flatness properties over commutative rings. Acta Math. Hungarica, 146: 142-152.
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  35. Mahdou, N., A. Mimouni and M.A.S. Moutui, 2014. On PM-rings, rings of finite character and h-local rings. J. Algebra Applic., Vol. 13, No. 06. 10.1142/S0219498814500182.
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  36. Mahdou, N. and M. Zennayi, 2014. On heinzer-roitman rings. Rend. Sem. Mat. Univ. Politec. Torino, 72: 235-243.
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  37. Kabbour, M. and M. Mahdou, 2014. Arithmetical property in amalgamated algebras along an ideal. Palestine J. Math., 3: 395-399.
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  38. Cheniour, F. and N. Mahdou, 2014. When every flat ideal is projective. Comment. Math. Univ. Carolin, 55: 1-7.
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  39. Cheniour, F. and N. Mahdou, 2014. When every P-flat ideal is flat. Bull. Iran. Math. Soc., 40: 677-688.
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  40. Bakkari, C. and N. Mahdou, 2014. On weakly coherent rings. Rocky Mt. J. Math., 44: 743-752.
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  41. Mimouni, A., M. Kabbour and N. Mahdou, 2013. Trivial ring extensions defined by arithmetical-like properties. Commun. Algebra, 41: 4534-4548.
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  42. Mahdou, N., M. Tamekkante and S. Yassemi, 2013. Coherent power series ring and weak Gorenstein global dimension. Glasgow Math. J., 55: 533-536.
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  43. Mahdou, N. and M. Tamekkante, 2013. On (weak) Gorenstein global dimensions. Acta Math. Univ. Comenianae, 82: 285-296.
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  44. Mahdou, N. and K. Ouarghi, 2013. Rings over which all (finitely generated strongly) Gorenstein projective modules are projective. Int. J. Open Probl. Compt. Sci. Math., 6: 62-72.
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  45. Mahdou, N. and K. Ouarghi, 2013. Rings over which all (finitely generated strongly) Gorenstein projective modules are projec- tive. Int. J. Open Prob. Comput. Sci. Math., 6: 62-72.
  46. Louartiti, K. and N. Mahdou, 2013. Amalgamated algebra extensions defined by von neumann regular and SFT conditions. Gulf J. Math., 2: 105-113.
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  47. Chhiti, M., N. Mahdou and M. Tamekkante, 2013. Self injective amalgamated duplication of a ring along an ideal. J. Algebra Applic., Vol. 12, No. 7. 10.1142/S0219498813500333.
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  48. Cheniour, F. and N. Mahdou, 2013. When every principal ideal is flat. Port. Math., 70: 51-58.
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  49. Cheniour, F. and N. Mahdou, 2013. When every flat ideal is finitely projective. Arabian J. Math., 2: 255-261.
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  50. Almahdi, F.A.A. and N. Mahdou, 2013. On P-weakly semihereditary rings. J. Adv. Res. Pure Math., 5: 95-104.
  51. Mahdou, N. and K. Ouarghi, 2012. On G-(n, d)-rings. Rocky Mount. J. Math., 42: 999-1013.
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  52. Mahdou, N. and A.R. Hassani, 2012. On weakly-noetherian rings. Rend. Sem. Mat. Univ. Politec. Torino, 70: 289-296.
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  53. Mahdou, N. and A.R. Hassani, 2012. On strong (A)-rings. Mediterr. J. Math., 9: 393-402.
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  54. Mahdou, N. and A. Mimouni, 2012. Well-centered overrings of a commutative ring in pullbacks and trivial extensions. Rocky Mount. J. Math., 42: 223-234.
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  55. Louartiti, K. and N. Mahdou, 2012. Transfer of MultiplicationLike Conditions in Amalgamated Algebra Along an Ideal. Afr. Diaspora J. Math. New Ser., 14: 119-125.
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  56. El Baghdadi, S., A. Jhilal and N. Mahdou, 2012. On FF-rings. J. Pure Appl. Algebra, 216: 71-76.
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  57. Chhiti, M. and N. Mahdou, 2012. Some homological properties of amalgamated duplication of a ring along an ideal. Bull. Iran. Math. Soc., 38: 507-515.
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  58. Mahdou, N., M. Tamekkante and S. Yassemi, 2011. On (strongly) Gorenstein von Neumann regular rings. Commun. Algebra, 39: 3242-3252.
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  59. Mahdou, N. and M. Tamekkante, 2011. The orthogonal complement relative to the functor extension of the class of all Gorenstein flat modules. Adv. Pure Appl. Math., 2: 133-145.
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  60. Mahdou, N. and M. Tamekkante, 2011. Strongly Gorenstein flat modules and dimensions. Chin. Ann. Math. Ser. B, 32: 533-548.
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  61. Mahdou, N. and M. Tamekkante, 2011. Right Gorenstein global dimension of an (almost) excellent extension. Asian Eur. J. Math., 4: 109-115.
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  62. Mahdou, N. and M. Tamekkante, 2011. On an amalgamated duplication of a ring along an ideal which are quasi-Frobenius. Contrib. Algebra Geom., 52: 343-347.
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  63. Mahdou, N. and M. Tamekkante, 2011. On (strongly) Gorenstein (semi) hereditary rings. Arabian J. Sci. Eng., 36: 431-440.
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  64. Mahdou, N. and M. Tamekkante, 2011. Gorenstein global dimension of an amalgamated duplication of a coherent ring along an ideal. Mediterr. J. Math., 8: 293-305.
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  65. Kabbour, M. and N. Mahdou, 2011. On weakly von neumann regular rings. Int. J. Open Probl. Comput. Sci. Math., 4: 15-23.
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  66. Kabbour, M. and N. Mahdou, 2011. On valuation rings. Commun. Algebra, 39: 176-183.
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  67. Kabbour, M. and N. Mahdou, 2011. Amalgamation of rings defined by Bezout-like conditions. J. Algebra Appl., 10: 1343-1350.
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  68. Almahdi, F.A.A. and N. Mahdou, 2011. On weakly semihereditary rings. Int. J. Open Probl. Compt. Math., 4: 38-49.
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  69. Almahdi, F.A.A. and N. Mahdou, 2011. On Armendariz-Like properties. Afr. Diaspora J. Math. New Ser., 11: 40-47.
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  70. Mahdou, N., 2010. Sufficient Condition to Resolve Costa`s First Conjecture. Commun. Algebra, 38: 1066-1074.
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  71. Mahdou, N. and M. Tamekkante, 2010. When every gorenstein projective (Resp. Flat) module is strongly gorenstein projective (Resp. Flat). Commun. Math. Applic., 1: 15-25.
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  72. Mahdou, N. and M. Tamekkante, 2010. IF-dimension of Modules. Commun. Math. Appl., 1: 99-104.
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  73. Jhilal, A. and N. Mahdou, 2010. On strong n-perfect rings. Commun. Algebra, 38: 1057-1065.
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  74. Jhilal, A. and N. Mahdou, 2010. On strong n-perfect and (n, d)-perfect rings. Afr. Diaspora J. Math., 9: 1-7.
  75. Chhiti, M. and N. Mahdou, 2010. Homological dimensions of the amalgamated duplication of a ring along a pure ideal. Afr. Diaspora J. Math., 10: 1-6.
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  76. Bennis, D., N. Mahdou and K. Ouarghi, 2010. Rings over which all modules are strongly gorenstein projective. Rocky Mount. J. Math., 40: 749-759.
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  77. Bennis, D. and N. Mahdou, 2010. Global gorenstein dimensions. Proc. Am. Math. Soc., 138: 461-465.
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  78. Bennis, D. and N. Mahdou, 2010. First, second, and third change of rings theorems for Gorenstein homological dimensions. Commun. Algebra, 38: 3837-3850.
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  79. Bakkari, C., S. Kabbaj and N. Mahdou, 2010. Trivial extensions defined by Prufer conditions. J. Pure Appl. Algebra, 214: 53-60.
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  80. Bakkari, C., N. Mahdou and H. Mouanis, 2010. The v-coherence and weakly finite conductor properties of fixed rings. Int. J. Mod. Math., 5: 83-90.
  81. Mahdou, N. and K. Ouarghi, 2009. Gorenstein dimensions in trivial ring extensions. Commutative Algebra Appl., 2009: 291-299.
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  82. Mahdou, C.B.N., 2009. On Gaussian polynomials and content ideal. Contrib. Algebra Geom., 50: 425-431.
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  83. Bennis, D. and N. Mahdou, 2009. n-perfectness in pullbacks. Commutative Algebra Appl., 2009: 61-68.
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  84. Bennis, D. and N. Mahdou, 2009. On n-perfect rings and cotorsion dimension. J. Algebra Appl., 8: 181-190.
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  85. Bennis, D. and N. Mahdou, 2009. On (n, d)-perfect rings. Commutative Algebra Appl., 2009: 275-284.
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  86. Bennis, D. and N. Mahdou, 2009. Global gorenstein dimensions and cotorsion dimension of rings. Commun. Algebra, 37: 1709-1718.
  87. Bennis, D. and N. Mahdou, 2009. A generalization of strongly gorenstein projective modules. J. Algebra Applic., 8: 219-227.
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  88. Bakkari, C., N. Mahdou and H. Mouanis, 2009. Prufer-like conditions in subrings retract and applications. Commun. Algebra, 37: 47-55.
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  89. Bakkari, C. and N. Mahdou, 2009. On armendariz rings. Contrib. Algebra Geomet., 50: 363-368.
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  90. Bennis, D. and N. Mahdou, 2008. Global gorenstein dimensions of polynomial rings and of direct product of rings. Houston J. Math., 25: 1019-1028.
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  91. Mahdou, N., 2007. On P-coherent rings. Afr. Diaspora J. Math., 4: 27-33.
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  92. Bennis, D. and N. Mahdou, 2007. Strongly gorenstein projective, injective and flat modules. J. Pure Applied Algebra, 210: 437-445.
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  93. Mahdou, N., A. Mimouni and H. Mouanis, 2006. The (n,d)-krull property over domains arising from pullbacks. Commun. Algebra, 34: 2281-2286.
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  94. Mahdou, N., 2006. n-flat modules and n-von neumann regular rings. Int. J. Mathematics Mathematical Sci., 2006: 1-6.
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  95. Bakkari, C. and N. Mahdou, 2006. Gaussian polynomials and content ideal in pullbacks. Commun. Algebra, 34: 2727-2732.
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  96. Mahdou, N., 2005. On weakly finite conductor rings. Commun. Algebra, 32: 4027-4036.
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  97. Mahdou, N., 2005. On 2-von neumann regular rings. Commun. Algebra, 33: 3489-3496.
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  98. Mahdou, N., 2005. Classes of commutative rings defined by special conditions. Commun. Algebra, 33: 3989-3995.
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  99. Mahdou, N. and H. Mouanis, 2004. Some homological properties of subring retract and applications to fixed rings. Commun. Algebra, 32: 1823-1834.
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  100. Kabbaj, S.E. and N. Mahdou, 2004. Trivial extensions defined by coherent-like conditions. Commun. Algebra, 32: 3937-3953.
  101. Mahdou, N., 2003. On (n, d)-Krull rings. Commun. Algebra, 31: 1139-1146.
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  102. Mahdou, N., 2002. On the Clifford algebra of a diagonal binary and cubic form. Arabian J. Sci. Eng., 27: 109-114.
  103. Lequain, Y. and N. Mahdou, 2002. On projective modules over polynomial rings. Lecture Notes Pure Applied Math., 231: 335-348.
  104. Kabbaj, S. and N. Mahdou, 2002. Trivial extensions of local rings and a conjecture of Costa. Lecture Notes Pure Applied Math., 231: 301-311.
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  105. Mahdou, N., 2001. Steinitz properties in trivial extensions of commutative rings. Arabian J. Sci. Eng., 26: 119-125.
  106. Mahdou, N., 2001. On costa’s conjecture. Commun. Algebra, 29: 2775-2785.
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  107. Dobbs, D.E., S.E. Kabbaj, N. Mahdou and M. Sobrani, 1999. When Is D+M n-coherent and an (n,d)-domain? Lecture Notes Pure Applied Math., 205: 257-270.
  108. Bouanane, A. and N. Mahdou, 1999. Hermite and weakly semi-Steinitz properties in pullbacks. Lecture Notes Pure Applied Math., 205: 133-144.
  109. Mahdou, N., D. Dobbs and S. Kabbaj, 1997. n-Coherent rings and modules. Lecture Notes Pure Applied Math., 185: 269-281.