Dr. Rasul Rasuli

Assistant Professor
Payame Noor University, Iran


Highest Degree
Ph.D. in Mathematics from Payame Noor University, Iran

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Area of Interest:

Mathematics
Commutative Algebra
Homological Algebra
Lie Algebras
Fuzzy Algebra

Selected Publications

  1. Rasuli, R., 2022. t-norms over fuzzy ideals (implicative, positive implicative) of BCK-algebras. Math. Anal. Contem. Appl., 4: 17-34.
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  2. Rasuli, R., 2022. Fuzzy d-algebras under t-norms. Eng. Appl. Sci. Lett., 5: 27-36.
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  3. Rasuli, R., 2022. Intuitionistic fuzzy BCI-algebras (implicative ideals, closed implicative ideals, commutative ideals) under norms. Math. Anal. Contemp. Appl., 4: 17-34.
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  4. Rasuli, R., 2021. Strongest relation, cosets and middle cosets of AQFSC(G). Eng. Applied Sci. Lett., Vol. 4. 10.30538/psrp-easl2021.0070.
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  5. Rasuli, R., 2021. S-norms on anti (Q)-fuzzy subgroups. Open J. Discrete Appl. Math., 4: 1-9.
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  6. Rasuli, R., 2021. Norms over intuitionistic fuzzy congruence relations on rings. Notes Intuitionistic Fuzzy Sets, 27: 51-68.

  7. Rasuli, R., 2021. Norms on intuitionistic fuzzy multigroups. Yugoslav J. Oper. Res., 31: 339-362.
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  8. Rasuli, R., 2021. Intuitionistic fuzzy congruences on product lattices under norms. J. Interdiscip. Math., 24: 1281-1304.
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  9. Rasuli, R., 2021. Conorms over level subsets and translations of anti Q-fuzzy subgroups. Int. J. Math. Computation, 32: 55-67.
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  10. Rasuli, R., 2021. Bifuzzy d-algebras under norms. Math. Anal. Contemp. Appl., 3: 63-83.
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  11. Hashemi, S., F. Hassani and R. Rasuli, 2021. The new results in n-injective modules and n-projective modules. Earthline J. Math. Sci., 7: 271-285.
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  12. Hashemi, S., F. Hassani and R. Rasuli, 2021. The new results in injective modules. Earthline J. Math. Sci., 7: 145-159.
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  13. Hashemi, S., F. Hassani and R. Rasuli, 2021. The new results in n-abelian category. Eur. J. Math. Appl., Vol. 1. 10.28919/ejma.2021.1.4.
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  14. Rasuli, R., 2020. T-norms over fuzzy multigroups. Earthline J. Math. Sci., 3: 207-228.
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  15. Rasuli, R., 2020. Q-soft translation of Q-soft subgroups. J. New Theory, 32: 25-33.
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  16. Rasuli, R., 2020. Level subsets and translations of QFST(G). MathLAB J. , 5: 1-11.
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  17. Rasuli, R., 2020. Intuitionistic fuzzy subgroups with respect to norms (T, S). Eng. Appl. Sci. Lett., 3: 40-53.
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  18. Rasuli, R., 2020. Fuzzy congruence on product lattices under T-norms. J. Inform. Optim. Sci., 42: 333-343.
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  19. Rasuli, R., 2020. Direct product of fuzzy multigroups under t-norms. Open J. Discrete Applied Math., 3: 75-85.
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  20. Rasuli, R., 2020. Conorms over anti fuzzy vector spaces. Open J. Math. Sci., 4: 158-167.
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  21. Rasuli, R., 2020. Anti complex fuzzy subgroups under s-norms. Eng. Applied Sci. Lett., Vol. 3. 10.30538/psrp-easl2020.0046.
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  22. Rasuli, R., 2020. Anti Q-soft normal subgroups. J. Fuzzy Math. Los Angles Am., 28: 237-248.
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  23. Rasuli, R., 2020. Anti Q-fuzzy subgroups under T-conorms. Earthline J. Math. Sci., 4: 13-28.
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  24. Rasuli, R., 2019. T-fuzzy Bi-ideals in semirings. Earthline J. Math. Sci., 2: 241-263.

  25. Rasuli, R., 2019. Q-soft normal subgroups. J. New Theory, 26: 13-22.
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  26. Rasuli, R., 2019. Norms over bifuzzy bi-ideals with operators in semigroups. Notes Intuitionist. Fuzzy Sets, 25: 1-11.

  27. Rasuli, R., 2019. Norms over basic operations on intuitionistic fuzzy sets. J. Fuzzy Math. Los Angles Am., 27: 561-582.

  28. Rasuli, R., 2019. Norms over anti fuzzy G-submodules. MathLAB J., 2: 56-64.
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  29. Rasuli, R., 2019. Fuzzy equivalence relation, fuzzy congrunce relation and fuzzy normal subgroups on group G over t-norm. Asian J. Fuzzy Applied Math., 7: 14-28.

  30. Rasuli, R., 2019. Artinian and noetherian fuzzy rings. Int. J. Open Prob. Comput. Sci. Math., 12: 86-92.
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  31. Rasuli, R., 2019. Anti fuzzy submodules over a t-conorm and some of their properties. J. Fuzzy Math. Los Angles Am., 1: 229-236.

  32. Rasuli, R., 2019. Anti fuzzy equivalence relation on rings with respect to t-conorm C. Earthline J. Math. Sci., 3: 1-19.
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  33. Rasuli, R. and H. Narghi, 2019. T-norms over Q-fuzzy subgroups of group. Jordan J. Math. Stat., 12: 1-13.

  34. Rasuli, R., 2018. c-Maximal submodules of finite modules. Int. J. Open Probl. Compt. Math., 11: 26-32.
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  35. Rasuli, R., 2018. T-fuzzy submodules of RxM. J. New Theory, 22: 92-102.
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  36. Rasuli, R., 2018. Soft lie ideals and anti soft lie ideals. J. Fuzzy Math. Los Angles Am., 26: 193-202.

  37. Rasuli, R., 2018. Fuzzy subgroups over at-norm. J. Infor. Optimiz. Sci., 39: 1757-1765.
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  38. R. Rasuli, 2018. Fuzzy Sub-vector Spaces and Sub-bivector Spaces under t- Norms. Gen. Lett. Math., 5: 47-57.
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  39. Hassani F. and R. Rasuli, 2018. Q-soft subgroups and anti-q-soft subgroups in universal algebra. J. Fuzzy Math. Los Angles Am., 26: 139-152.

  40. Rasuli, R., 2017. Norms over fuzzy Lie algebra. J. New Theory, 15: 32-38.
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  41. Rasuli, R., 2017. Intuitionistic Fuzzy Subrings and Ideals under Norms. Lambert Academic Publishing, Germany, ISBN: 978-620-2-06926-7, Pages: 108.

  42. Rasuli, R., 2017. Fuzzy subgroups on direct product of groups over a t-norm. J. Fuzzy Set Valued Anal., 3: 96-101.
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  43. Rasuli, R., 2017. Characterizations of intuitionistic fuzzy subsemirings of semirings and their homomorphisms by norms. J. New Theory, 18: 39-52.
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  44. Hassani, F. and R. Rasuli, 2017. Some properties of Serre subcategories in the graded local cohomology modules. J. Math. 10.1155/2017/5230589.
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  45. Hassani, F. and R. Rasuli, 2017. Extension of Q-soft ideals in semigroups. Int. J. Open Probl. Compt. Math., 10: 6-13.
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  46. Sazedeeh, R. and R. Rasuli, 2016. Melkersson condition on Serre subcategories. Collocuium Mathematicum, 144: 289-300.
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  47. Rasuli, R., 2016. Norms over intuitionistic fuzzy subrings and ideals of a ring. Notes Intuitionistic Fuzzy Sets, 22: 72-83.
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  48. Rasuli, R., 2016. Fuzzy subrings over T-norms. J. Fuzzy Math., 24: 995-1000.

  49. Rasuli, R., 2016. Fuzzy modules over a T-norm. Int. J. Open Probl. Compt. Math., 9: 12-18.
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  50. Rasuli, R., 2016. Fuzzy ideals of subtraction semigroups with respect to a T-norm and T-conorm. J. Fuzzy Math., 24: 881-892.

  51. Sazedeeh, R. and R. Rasuli, 2013. Some results in local cohomology and Serre subcategory. Rom. J. Math. Comput. Sci., 3: 185-190.
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  52. Rasuli, R., 2013. Serre subcategory in Abelian category. Int. J. Algebra, 7: 549-557.
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