Dr. Poonam Kumar Sharma
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Dr. Poonam Kumar Sharma

Associate Professor
Department of Mathematics, D.A.V. College, Jalandhar, India

Highest Degree
Ph.D. in Mathematics from Jamia Millia Islamia, Delhi, India

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Biography

Dr P.K. Sharma, an Associate Professor in mathematics. His Fields of Specialization are Algebra, Topology and Fuzzy Mathematics. He has written 10 Books, has guided 25 students for M. Phil. and 4 students Ph.D . He completed one UGC Sponsored MRP, written 135 research articles and delivered many invited talks in Conferences. He presented his research papers abroad (USA and Bulgaria).

Area of Interest:

Mathematics
100%
Fuzzy Mathematics
62%
Fuzzy Topological Spaces
90%
Fuzzy Modules
75%
Group Theory and Generalizations
55%

Research Publications in Numbers

Books
12
Chapters
2
Articles
227
Abstracts
86

Selected Publications

  1. Sharma, P.K., Chandni and N. Bhardwaj, 2022. Category of intuitionistic fuzzy modules. Mathematics, Vol. 10. 10.3390/math10030399.
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  2. Sharma, P.K., 2022. On intuitionistic fuzzy semiprime submodules. Notes Intuitionistic Fuzzy Sets, 28: 161-171.
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  3. Sharma, P.K., 2022. On intuitionistic fuzzy primary ideal of a ring. Pan-Amer. J. Math., 10.28919/cpr-pajm/1-11.
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  4. Sharma, P.K., 2022. On intuitionistic fuzzy multiplication modules. Korea Open Access J., 23: 295-309.
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  5. Lata, H. and P.K. Sharma, 2022. On the translational invariant intuitionistic fuzzy subset of a Γ-ring. Notes Intuitionistic Fuzzy Sets, 28: 11-22.
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  6. Sharma, P.K., 2021. Intuitionistic fuzzy characteristic of a ring. SSRN Electron. J., 10.2139/ssrn.3891216.
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  7. Sharma, P.K., Kanchan and D.S. Pathania 2020. On decomposition of intuitionistic fuzzy primary submodules. Malaya J. Matematik, 8: 1708-1712.
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  8. Sharma, P.K., , K. Kanchan and D.S. Pathania, 2020. On decomposition of intuitionistic fuzzy prime submodules. Notes Intuitionistic Fuzzy Sets, 26: 25-32.
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  9. Sharma, P.K. and Kanchan, 2020. Some topological properties of spectrum of intuitionistic fuzzy prime submodules. Malaya J. Matematik, 10.26637/MJM0804/0004.
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  10. Sharma, P.K. and Kanchan, 2020. On intuitionistic L-fuzzy primary and P-primary submodules. Malaya J. Matematik, .
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  11. Kanchan, P.K. Sharma and D.S. Pathania, 2020. Intuitionistic l-fuzzy submodules. Advances in Fuzzy Sets and Systems 25: 123-142.
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  12. Sharma, P.K. and G. Kaur, 2019. On intuitionistic fuzzy prime submodules. Proceeding of 24th International Conference on Intuitionistic Fuzzy Sets '2020, 2019 Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences) 97-112.
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  13. Sharma, P.K. and G. Kaur, 2019. Radical structures of intuitionistic fuzzy polynomial ideals of a ring. Proceeding of 24th International Conference on Intuitionistic Fuzzy Sets '2020, 2019 Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences) 85-96.
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  14. P. K. Sharma and Kanchan, 2019. On intuitionistic L-fuzzy prime submodules. Korea Open Access J., 16: 87-97.
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  15. Kumari, A., Preeti, A. Sehgal, P.K. Sharma and S. Sehgal, 2019. Fuzzy subgroups of non–abelian group Zpn ⋊ Zp for any prime p. AIP Conf. Proc., 10.1063/1.5122622.
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  16. Sharma, P.K., 2018. Regular intuitionistic fuzzy graph structure. Int. J. Res. Appl. Sci. Eng. Technol., 6: 3722-3729.
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  17. Sharma, P.K. and G. Kaur, 2018. On the intuitionistic fuzzy polynomial ideals of a ring. Proceeding of 24th International Conference on Intuitionistic Fuzzy Sets '2020, 2018 Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences) 48-59.
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  18. Sharma, P.K. and G. Kaur, 2018. Intuitionistic fuzzy hollow submodules. Proceeding of 24th International Conference on Intuitionistic Fuzzy Sets '2020, 2018 Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences) 25-32.
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  19. Kemale, V. and H. Afaq, 2018. Sequences of intuitionistic fuzzy soft G-modules. Int. Math Forum, 13: 537-546.
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  20. Sharma P.K. and G. Kaur, 2017. Residual quotient and annihilator of intuitionistic fuzzy sets of ring and module. Int. J. Comp. Sci. Info. Technol., 9: 01-15.
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  21. Yamin, M. and P.K. Sharma, 2016. Group action on fuzzy modules. Appl. Math., 7: 413-421.
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  22. Sharna, P.K. and G. Kaur, 2016. Intuitionistic fuzzy superfluous submodules. Notes Intuitionistic Fuzzy Sets, 22: 34-46.
  23. Sharma, P.K., 2016. Semi-simple Intuitionistic Fuzzy G- Modules. Int. J. Pure Appl. Res., 1: 101-108.
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  24. Sharma, P.K., 2016. Reducibility and Complete Reducibility of intuitionistic fuzzy G-modules. Ann. Fuzzy Math. Inf., 11: 885-898.
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  25. Sharma, P.K., 2016. On intuitionistic fuzzy abelian subgroups-II. Adv. Fuzzy Sets Syst., 21: 1-6.
  26. Sharma, P.K., 2016. On intuitionistic fuzzy abelian subgroups - ii. Adv. Fuzzy Sets Sys., 21: 1-6.
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  27. Sharma, P.K., 2016. On Intuitionistic fuzzy G-modules on GF(pn) Asian J. Fuzzy Appl. Math., 4: 47-53.
  28. Sharma, P.K., 2016. Direct sum of intuitionistic fuzzy submodules of G-modules. Asian J. Fuzzy Appl. Math., 4: 36-46.
  29. Sharma, P.K., 2016. Boolean Algebraic Intuitionistic Fuzzy Topological Spaces. J. Fuzzy Math., 24: 483-497.
  30. Sharma, P.K. and V. Bansal, 2016. Intuitionistic Fuzzy Graph Structures. IOSR J. Math, 12: 28-33.
  31. Sharma, P.K. and T. Kaur, 2016. On intuitionistic fuzzy representation of intuitionistic fuzzy G-modules. Ann. Fuzzy Math. Inf., 11: 557-569.
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  32. Sharma, P.K. and S. Chopra, 2016. Projectivity of intuitionistic fuzzy g-modules. Adv. Fuzzy Sets Sys., 21: 239-264.
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  33. Sharma, P.K. and M. Kaur, 2016. Translates of Intuitionistic M-fuzzy Groups. Int. J. Pure Appl. Res., 3: 1-10.
  34. Sharma, P.K. and G. Kaur, 2016. Intuitionistic fuzzy superfluous modules. Notes Intuitionistic Fuzzy Sets, 22: 34-46.
  35. Sehgal, A., S. Sehgal, M. Jakhar and P.K. Sharma, 2016. Quadratic Form of Automorphism of a finite Abelian p-group of rank two. Adv. Algebra, 9: 17-21.
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  36. Sehgal, A., S. Sehgal and P.K. Sharma, 2016. The number of fuzzy subgroups of a finite abelian p-group Zpm × Zpn. Adv. Fuzzy Sets Syst., 21: 49-57.
  37. Sehgal, A., S. Sehgal and P.K. Sharma, 2016. The number of fuzzy subgroups of a finite abelian p-group $z_{p^{m}} \times z_{p^{n}}$. Adv. Fuzzy Sets Sys., 21: 49-57.
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  38. Sehgal, A., S. Sehgal and P.K. Sharma, 2016. The number of automorphism of a finite abelian group of rank two. J. Discrete Math. Sci. Cryptography, 19: 163-171.
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  39. Sharma, P.K., 2015. On Fuzzy Topological Spaces Involving Boolean Algebraic Structures. J. Math. Comput. Sci., 15: 252-260.
  40. Sharma, P.K., 2015. Intuitionistic fuzzy representation of intuitionistic fuzzy groups. Asian J. Fuzzy Appl. Math., 3: 81-94.
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  41. Sharma, P.K., 2015. Group intuitionistic fuzzy topological spaces. J. Nat. Sci. Res., 5: 1-10.
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  42. Sharma, P.K. and T. Kaur, 2015. Intuitionistic fuzzy G-modules. Notes Intuitionistic Fuzzy Sets, 21: 6-23.
  43. Sharma, M. and P.K. Sharma, 2015. t-Anti Fuzzy Subrings and Ideals. Indian J. Math. Res., 3: 47-57.
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  44. Sharma, M. and P.K. Sharma, 2015. Intuitionistic (T,S)-fuzzy submodule of a module. Global J. Math. Math. Sci., 5: 65-73.
  45. Sharma, M. and P.K. Sharma, 2015. A study on translation of intuitionistic fuzzy groups. Int. J. Math. Educ., 5: 71-79.
  46. Sehgal, A., S. Sehgal and P.K. Sharma, 2015. The number of subgroups of finite abelian p-group of rank two. J. Algebra Number Theory Acad., 5: 23-31.
  47. Sehgal, A., S. Sehgal and P.K. Sharma, 2015. The Number of Fuzzy Subgroups of a finite Dihedral Dpmqn. Int. J. Fuzzy Math. Arch., 8: 51-57.
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  48. Kumar, N., A. Sehgal, S. Sehgal and P.K. Sharma, 2015. Quadratic Form of Subgroups of a finite Abelian p-Group of Rank two. Ann. Pure Appl. Math., 10: 165-167.
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  49. Yamin, M. and P.K. Sharma, 2014. Relative Relation Modules of Finite Elementary Abelian p-Groups. Bull. Korean Math. Soc., 51: 1205-1210.
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  50. Sharma, P.K., 2014. Modal operator Fα, β in intuitionistic fuzzy groups. Ann. Pure Appl. Math., 7: 19-28.
  51. Sharma, P.K., 2014. Lattices of Intuitionistic fuzzy modules. J. Adv. Math., 9: 1828-1833.
  52. Sharma, P.K. and A. Duggal, 2014. A study on Translation of Intuitionistic (T,S)-Fuzzy Bi-Ideal of a Ring. Int. J. Comput., 4: 623-627.
  53. Sharma, P.K., 2013. t-Fuzzy Subring and Ideal. Indian J. Comput. Appl. Math., 1: 93-104.
  54. Sharma, P.K., 2013. a- Fuzzy subgroups Int. J. Fuzzy Math. Syst., 3: 47-59.
  55. Sharma, P.K., 2013. (a, B)-Cut of Intuitionistic fuzzy modules- II. Int. J. Math. Sci. Appli., 3: 11-17.
  56. Sharma, P.K., 2013. (a, B)- Anti Fuzzy Subgroups. Int. J. Fuzzy Math. Syst., 3: 61-74.
  57. Sharma, P.K. and M. Yamin, 2013. Relative relation modules of SL( 2, p) and PSL(2, p) groups. J. Indian Math. Soc., 80: 341-348.
  58. Sharma, P.K., 2012. t-Intuitionistic Fuzzy Subrings. Int. J. Math. Sci., 3: 265-275.
  59. Sharma, P.K., 2012. t-Intuitionistic Fuzzy Quotient Modules. Int. J. Fuzzy Math. Syst., 2: 37-45.
  60. Sharma, P.K., 2012. t-Intuitionistic Fuzzy Quotient Group. Adv. Fuzzy Math., 7: 1-9.
  61. Sharma, P.K., 2012. t- Intuitionistic Fuzzy Subgroups. Int. J. Fuzzy Math. Syst., 2: 233-243.
  62. Sharma, P.K., 2012. t- Intuitionistic Fuzzy Quotient Ring. Int. J. Fuzzy Math. Syst., 2: 207-216.
  63. Sharma, P.K., 2012. a- Anti Fuzzy Subgroups Int. Rev. Fuzzy Math., 7: 47-58.
  64. Sharma, P.K., 2012. Translates of Anti fuzzy subgroups Int. J. Appl. Math. Appli., 4: 175-182.
  65. Sharma, P.K., 2012. Translates of Anti Fuzzy Subrings And Ideals. Int. J. Appl. Math. Phys., 4: 125-130.
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  66. Sharma, P.K., 2012. Translates of (Anti) fuzzy submodules. Int. J. Eng. Res. Dev., 5: 27-31.
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  67. Sharma, P.K., 2012. Relationship between a-(Anti) Fuzzy Subgroups and (a, B)-(Anti) Fuzzy Subgroups. Int. Rev. Pure Appl. Math., 8: 133-140.
  68. Sharma, P.K., 2012. Q - Intuitionistic L-Fuzzy Submodules. Int. J. Fuzzy Math. Syst., 2: 255-262.
  69. Sharma, P.K., 2012. On the Direct Product of Intuitionistic Fuzzy Subgroups. Int. Math. Forum, 7: 523-530.
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  70. Sharma, P.K., 2012. On Translates of intuitionistic fuzzy abelian subgroups. Adv. Fuzzy Sets Syst., 13: 1-12.
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  71. Sharma, P.K., 2012. On Intuitionistic Magnified Translation in Groups. Int. J. Math. Sci. Appli., 2: 139-144.
  72. Sharma, P.K., 2012. On Intuitionistic Fuzzy Abelian Subgroups. Adv. Fuzzy Sets Syst., 12: 1-16.
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  73. Sharma, P.K., 2012. On Intuitionistic Anti-Fuzzy Submodule of a Module. Int. J. Fuzzy Math. Syst., 2: 127-132.
  74. Sharma, P.K., 2012. On Intuitionistic Anti-Fuzzy Subgroup of a group. Int. J. Math. Appl. Stat., 3: 147-153.
  75. Sharma, P.K., 2012. On Intuitionistic Anti-Fuzzy Ideal and Quotient Ring. Int. J. Appl. Math. Phys., 4: 109-119.
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  76. Sharma, P.K., 2012. Lattices of Anti fuzzy Submodules. Int. J. Fuzzy Math. Syst., 2: 345-350.
  77. Sharma, P.K., 2012. Intuitionistic Fuzzy Submodules with Thresholds (α,β) of Modules. Int. J. Math. Sci. Eng. Appl., 6: 21-30.
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  78. Sharma, P.K., 2012. Intuitionistic Fuzzy Relation on Modules. Int. Rev. Fuzzy Math.,. 7: 13-20.
  79. Sharma, P.K., 2012. Intuitionistic Fuzzy Module over intuitionistic Fuzzy Ring. Int. J. Fuzzy Math. Syst., 2: 133-140.
  80. Sharma, P.K., 2012. Intuitionistic Fuzzy Ideals of Near Rings. Int. Math. Forum, 7: 769-776.
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  81. Sharma, P.K., 2012. Anti Fuzzy Submodule of a Module. Adv. Fuzzy Sets Syst., 12: 49-57.
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  82. Sharma, P.K., 2012. (a, B)- Fuzzy Subgroups. Fuzzy Sets Rough Sets Multivalued Oper. Appli., 4: 59-71.
  83. Sharma, P.K. and V. Bansalm, 2012. On Intuitionistic Anti-Fuzzy Ideal in Rings. Int. J. Math. Sci., 3: 237-243.
  84. Sharma, P.K. and V. Bansal, 2012. Anti Homomorphism of Intuitionistic Magnified Translation in Groups. Int. J. Math. Sci. Appli., 2: 161-166.
  85. Sharma, P.K. and A. Bahl, 2012. Translates of Intuitionistic Fuzzy Submodules. Int. J. Math. Sci., 11: 277-287.
  86. Sharma, P.K., 2011. Translates of Intuitionistic Fuzzy Subrings. Int. Rev. Fuzzy Math., 6: 77-84.
  87. Sharma, P.K., 2011. Translates of Intuitionistic Fuzzy Subgroups. Int. J. Pure Appl. Math., 72: 555-564.
  88. Sharma, P.K., 2011. On Intuitionistic Fuzzy order of an Element of a Group. Res. Cell Int. J. Eng. Sci., 4: 355-362.
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  89. Sharma, P.K., 2011. On Intuitionistic Fuzzy Magnified Translation in Rings. Int. J. Algebra, 5: 1451-1458.
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  90. Sharma, P.K., 2011. Intuitionistic fuzzy groups Int. J. Data Ware hous. Min., 1: 86-94.
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  91. Sharma, P.K., 2011. Homomorphism of Intuitionistic Fuzzy Groups. Int. Math. Forum, 6: 3169-3178.
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  92. Sharma, P.K., 2011. (a, B)-Cut of Intuitionistic fuzzy modules. Int. J. Math. Sci. Appli., 1: 1489-1492.
  93. Sharma, P.K., 2011. (α,β) – Cut of Intuitionistic Fuzzy Groups. Int. Math. Forum, 6: 2605-2614.
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