Dr. Lahcen Oukhtite

Professor
Moulay Ismail University, Morocco


Highest Degree
Ph.D. in Associative Algebra from University of Fez, Fez, Morocco

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Area of Interest:

Mathematics
Mathematics Applications
Applied Algebra
Applied Statistics
Derivations

Selected Publications

  1. Oukhtite, L. and A. Raji, 2018. On two sided α-n-derivation in 3-prime near-rings. Acta Math. Hungarica, (In Press). 10.1007/s10474-018-0899-3.
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  2. Mamouni, A., L. Oukhtite, B. Nejjar and J.J. Al Jaraden, 2018. Some commutativity criteria for prime rings with differential identities on Jordan ideals. Commun. Algebra, (In Press). 10.1080/00927872.2018.1477945.
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  3. Nejjar, B., A. Mamouni and L. Oukhtite, 2017. On traces of permuting n-derivations and permuting generalized n-derivations on Jordan ideals. Palestine J. Math., 6: 45-54.
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  4. Nejjar, B., A. Kacha, A. Mamouni and L. Oukhtite, 2017. Commutativity theorems in rings with involution. Commun. Algebra, 45: 698-708.
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  5. Mamouni, A., L. Oukhtite and B. Nejjar, 2017. On ∗-semiderivations and ∗-generalized semiderivations. J. Algebra Applic., Vol. 16, No. 4. 10.1142/S021949881750075X.
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  6. Mamouni, A., B. Nejjar and L. Oukhtite, 2017. Differential identities on prime rings with involution. J. Algebra Applic., Vol. 17, No. 9. 10.1142/S0219498818501633.
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  7. Samman, M., L. Oukhtite, A. Raji and A. Boua, 2016. Two sided α-derivations in 3-prime near-rings. Rocky Mountain J. Math., 46: 1379-1393.
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  8. Mamouni, A. and L. Oukhtite, 2016. Differential identities on Jordan ideals of rings with involution. Hacettepe J. Math. Stat., 45: 49-55.
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  9. Boua, A., L. Oukhtite and A. Raji, 2016. On generalized semiderivations in 3-prime near-rings. Asian-Eur. J. Math., Vol. 9, No. 2. 10.1142/S1793557116500364.
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  10. Boua, A., L. Oukhtite and A. Raji, 2016. On 3-prime near-rings with generalized derivations. Palestine J. Math., 5: 12-16.
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  11. Samman, M., L. Oukhtite and A. Boua, 2015. A study of near-rings with generalized derivations. J. Taibah Univ. Sci., 9: 407-413.
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  12. Raji, A., L. Oukhtite, A. Boua and O.A. Zemzami, 2015. BIBDs algorithm. J. Taibah Univ. Sci., 9: 308-313.
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  13. Oukhtite, L. and A. Raji, 2015. Generalized two sided α-derivations in 3-prime near-rings. J. Taibah Univ. Sci., 9: 366-372.
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  14. Oukhtite, L. and A. Mamouni, 2015. Commutativity theorems for prime rings with generalized derivations on Jordan ideals. J. Taibah Univ. Sci., 9: 314-319.
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  15. De Filippis, V., A. Mamouni and L. Oukhtite, 2015. Generalized Jordan semiderivations in prime rings. Can. Math. Bull., 58: 263-270.
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  16. Bell, H.E., A. Boua and L. Oukhtite, 2015. Semigroup ideals and commutativity in 3-prime near rings. Commun. Algebra, 43: 1757-1770.
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  17. Oukhtite, L., A. Mamouni and C. Beddani, 2014. Derivations and Jordan ideals in prime rings. J. Taibah Univ. Sci., 8: 364-369.
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  18. Oukhtite, L. and A. Mamouni, 2014. Generalized derivations centralizing on Jordan ideals of rings with involution. Turk. J. Math., 38: 225-232.
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  19. Boua, A., L. Oukhtite, A. Raji and O.A. Zemzami, 2014. An algorithm to construct error correcting codes from planar near-rings. Int. J. Math. Eng. Sci., 3: 14-23.
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  20. Boua, A., L. Oukhtite and A. Raji, 2014. Semigroup ideals with semiderivations in 3-prime near-rings. Palestine J. Math., 3: 438-444.
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  21. Boua, A., L. Oukhtite and A. Raji, 2014. Jordan ideals and derivations in prime near-rings. Comment. Math. Univ. Carolinae, 55: 131-139.
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  22. Oukhtite, L., S. Salhi and L. Taoufiq, 2013. Left multipliers acting on Jordan ideals of rings with involution. J. Adv. Res. Pure Math., 5: 55-60.

  23. Oukhtite, L., A. Mamouni and M. Ashraf, 2013. Commutativity theorems for rings with differential identities on Jordan ideals. Comment. Math. Univ. Carolinae, 54: 447-457.
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  24. De Filippis, V., A. Mamouni and L. Oukhtite, 2013. Semiderivations satisfying certain algebraic identities on Jordan ideals. ISRN Algebra, Vol. 2013. 10.1155/2013/738368.
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  25. Boua, A., L. Oukhtite and H.E. Bell, 2013. Differential identities on semigroup ideals of right near-rings. Asian-Eur. J. Math., Vol. 6, No. 4. 10.1142/S1793557113500502.
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  26. Boua, A. and L. Oukhtite, 2013. Some conditions under which near-rings are rings. Southeast Asian Bull. Math., 37: 325-331.
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  27. Boua, A. and L. Oukhtite, 2013. Semiderivations satisfying certain algebraic identities on prime near-rings. Asian-Eur. J. Math., Vol. 6, No. 3. 10.1142/S1793557113500435.
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  28. Oukhtite, L., 2012. Generalized Jordan left derivations in rings with involution. Demonstratio Math., 45: 807-812.
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  29. Oukhtite, L. and L. Taoufiq, 2012. Left multipliers satisfying certain algebraic identities on Lie ideals of rings with involution. Int. J. Open Probl. Comput. Sci. Math., 5: 55-60.
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  30. Oukhtite, L. and A. Mamouni, 2012. Function acting a multiplicative homomorphism (or anti-homomorphism) on Jordan ideals of prime rings. Aligharh Bull. Math., 31: 57-64.

  31. Oukhtite, L. and A. Mamouni, 2012. Derivations satisfying certain algebraic identities on Jordan ideals. Arabian J. Math., 1: 341-346.
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  32. Mamouni, A., L. Oukhtite and M. Samman, 2012. Commutativity theorems for *-prime rings with differential identities on Jordan ideals. ISRN Algebra, Vol. 2012. 10.5402/2012/729356.
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  33. Bell, H.E., A. Boua and L. Oukhtite, 2012. On derivations of prime near-rings. Afr. Diaspora J. Math., 14: 65-72.
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  34. Oukhtite, L., 2011. Posner's second theorem for Jordan ideals in rings with involution. Expositiones Math., 29: 415-419.
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  35. Oukhtite, L., 2011. Lie ideals and centralizing generalized derivations of rings with involution. Contrib. Algebra Geometry, 52: 349-355.
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  36. Oukhtite, L., 2011. Left multipliers and Jordan ideals in rings with involution. Afr. Diaspora J. Math., 11: 24-28.
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  37. Oukhtite, L. and L. Taoufiq, 2011. Commutativity of involutorial rings with constraints on left multipliers. Commun. Math. Applic., 2: 15-20.
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  38. Oukhtite, L. and A. Boua, 2011. Generalized derivations and commutativity of prime near-rings. J. Adv. Res. Pure Math., 3: 120-124.

  39. Boua, A. and L. Oukhtite, 2011. Derivations on prime near-rings. Int. J. Open Probl. Comput. Sci. Math., 4: 162-167.
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  40. Oukhtite, L., S. Salhi and L. Taoufiq, 2010. Generalized derivations and commutativity of rings with involution. Beitrage Zur Algebra Geometry, 51: 345-351.
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  41. Oukhtite, L., 2010. On Jordan ideals and derivations in rings with involution. Comment. Math. Univ. Carolin., 51: 389-395.
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  42. Oukhtite, L., 2010. Lie ideals and generalized derivations of rings with involution. Int. J. Open Probl. Comput. Sci. Math., 3: 617-626.
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  43. Oukhtite, L., 2010. Left multipliers and Lie ideals in rings with involution. Int. J. Open Probl. Comput. Sci. Math., 3: 267-277.
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  44. Oukhtite, L., 2010. Left multipliers and Lie ideals in prime rings. J. Adv. Res. Pure Math., 2: 1-6.
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  45. Oukhtite, L. and S. Salhi, 2010. Commutativity conditions on derivations and Lie ideals in σ-prime rings. Beitrage Zur Algebra Geometry, 51: 275-282.
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  46. Oukhtite, L., 2009. An extension of Posner`s second theorem to rings with involution. Int. J. Mod. Math., 4: 303-308.

  47. Oukhtite, L. and L. Taoufiq, 2009. Some properties of derivations on rings with involution. Int. J. Mod. Math., 4: 309-315.

  48. Oukhtite, L. and S. Salhi, 2008. Strong commutativity preserving maps on Lie ideals. Beitrage Zur Algebra Geometry, 49: 441-447.
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  49. Oukhtite, L. and S. Salhi, 2008. Centralizing automorphisms and Jordan left derivations of σ-prime rings. Adv. Algebra, 1: 19-26.

  50. Oukhtite, L., S. Salhi and L. Taoufiq, 2007. σ-Lie ideals with derivations as homomorphisms and anti-homomorphisms. Int. J. Algebra, 1: 235-239.
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  51. Oukhtite, L., S. Salhi and L. Taoufiq, 2007. On generalized derivations and commutativity in σ-prime rings. Int. J. Algebra, 1: 227-230.
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  52. Oukhtite, L., S. Salhi and L. Taoufiq, 2007. Jordan generalized derivations on σ-prime rings. Int. J. Algebra, 1: 231-234.
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  53. Oukhtite, L. and S. Salhi, 2007. σ-prime rings with a special kind of automorphism. Int. J. Contemp. Math. Sci., 2: 127-133.
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  54. Oukhtite, L. and S. Salhi, 2007. On derivations in σ-prime rings. Int. J. Algebra, 1: 241-246.
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  55. Oukhtite, L. and S. Salhi, 2007. Lie ideals and derivations of σ-prime rings. Int. J. Algebra, 1: 25-30.
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  56. Oukhtite, L. and L. Taoufiq, 2007. Left derivations on σ-prime rings. Int. J. Algebra, 1: 31-36.
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  57. Oukhtite, L., 2006. Centralizing automorphisms of σ-prime rings. Hadronic J., 29: 347-353.

  58. Oukhtite, L. and S. Salhi, 2006. On generalized derivations of σ-prime rings. Afr. Diaspora J. Math., 5: 19-23.

  59. Oukhtite, L. and S. Salhi, 2006. On commutativity of σ-prime rings. Glasnik Matematicki, 41: 57-64.
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  60. Oukhtite, L. and S. Salhi, 2006. Derivations as homomorphisms and anti-homomorphisms in σ-prime rings. Algebras Groups Geometries, 23: 67-72.

  61. Oukhtite, L. and S. Salhi, 2006. Derivations and commutativity of σ-prime rings. Int. J. Contemp. Math Sci., 1: 439-448.
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  62. Oukhtite, L., 2005. Witt group of Hermitian forms over a noncommutative discrete valuation ring. Int. J. Math. Math. Sci., 7: 1141-1147.
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  63. Oukhtite, L. and S. Salhi, 2005. Rings with a special σ-derivation. Algebras Groups Geometries, 22: 375-386.

  64. Oukhtite, L. and M. Boulagouaz, 2005. Semisimples algebra with a positive involution. Algebras Groups Geometries, 22: 233-240.

  65. Boulagouaz, M. and L. Oukhtite, 2000. Involutions of semisimple group algebras. Arabian J. Sci. Eng., 25: 133-149.