Helen K Saikia

Professor

MSc (NEHU) PhD (Gauhati) MPhil (Gauhati)

Number Theory, Algebra, Fuzzy Algebra

Department of Mathematics
Gauhati University, Guwahati, 781014
Email: hsaikia[at]gauhati[dot]ac[dot]in

Algebra

Number Theory

Measure Theory

Graph Theory

Fuzzy Set Theory

1985-1990: Assistant Professor in the Dept. of Mathematics, Nowgong College

1990-2000: Assistant Professor in the Dept. of Mathematics, AEC, Guwahati

2000-2008 : Associate Professor in the Dept. of Mathematics, Gauhati University

2008-till date: Professor in the the Dept. of Mathematics, Gauhati University

   14 research scholars have obtained Ph.D. degree

 

Following students are pursuing Ph.D. work:

(i) Nabanita Goswami (DST Inspire fellow)

(ii) Ajoy Handique (CSIR JRF)

(iii) Mriganka Sekhar Dutta (CSIR JRF)

(iv) Harish Patodia

SELECTED PUBLICATIONS:

  1. Center of intersection graph of submodules of a module, AKCE International Journal of Graphs and Combinatorics (Article in press) (Jointly with Kukil Kalpa Rajkhowa).
  2. On Nilpotency Of The Right Singular Ideal Of Semiring, 37 (2), 123–127, (2019), on line ISSN-00378712 (Article in press) (Jointly with Nabanita Goswami).
  3. On total directed graphs of non-commutative rings, AKCE International Journal of Graphs and Combinatorics 14, 261–268, (2017). (Jointly with Kukil Kalpa Rajkhowa).
  4.  On ξ -torsion modules, Boll. Unione Mat. Ital. 10, 223–228, (2017). (Jointly with Himashree Kalita and Azizul Hoque).
  5. On the divisibility of class numbers of quadratic fields and the solvability of diophantine equations, SeMA J. 73, 213–217, (2016). (Jointly with Azizul Hoque).
  6. Characterization of -pure exact sequences, Afr. Mat., 27: 519 (2016). https://doi.org/10.1007/s13370-015-0356-1. (Jointly with Saugata Purkayastha).
  7. A note on quadratic fields whose class numbers are divisible by 3, SeMA, 73: 1 (2016). https://doi.org/10.1007/s40324-015-0051-z. (Jointly with Azizul Hoque).
  8. Singular fuzzy ideals of commutative rings, Journal of Intelligent & Fuzzy Systems, 30, 3543–3549, (2016). (Jointly with Mrinal C. Kalita).
  9. On the Class-number of the Maximal Real Subfield of a Cyclotomic Field, Quaestiones Mathematicae, 39(7), 889-894, (2016). (Jointly with Azizul Hoque).
  10. Total graph of a module with respect to singular submodule, Arab J Math Sci, 22, 242–249, (2016). (Jointly with Jituparna Goswami and Kukil Kalpa Rajkhowa).
  11. On generalized Mersenne Primes and class-numbers of equivalent quadratic fields and cyclotomic fields, SeMA J. 67, 71-75, (2015), (Springer) (Jointly with Azizul Hoque).
  12. A family of Imaginary Quadratic Fields whose Class numbers are multiples of three, Journal of Taibah University for Science, 9, 399–402, (2015). (Elsevier) (Jointly with Azizul Hoque).
  13. Some Aspects of Graded Singular Submodules and Goldie Dimension, Math. Sci. Lett. 4 (3), 255-259, (2015). (Jointly with Gayatri Das).
  14. On the Line Graph Associated to the Total Graph of a Module, MATEMATIKA, 31 (1), 7–13, (2015). (Jointly with Jituparna Goswami).
  15. Centre of Intersection Graph of Fuzzy submodules of a modules, Fuzzy Inf. Eng., 7, 1-11, (2015). (Elsevier) (jointly with Kukil Kalpa Rajkhowa).
  16. On Generalized Mersenne Prime, SeMA J. 66, 1-7 (2014). (Springer) (Jointly with Azizul Hoque).
  17. Quasi-Injective Near-Ring Groups, International Journal of Pure and Applied Mathematics, 97 (2), 201-210, (2014). (Jointly with Navalakhi Hazarika).
  18. On T-Fuzzy Essential Ideals of Rings, International Journal of Pure and Applied Mathematics, 89 (3), 343-352, (2013). (Jointly with Ujwal Medhi).
  19. On generalized multiplicative perfect numbers, Notes on Number Theory and Discrete Mathematics, 19 (4), 37–42, (2013). (Jointly with Bhabesh Das).
  20. Atanassov’s intuitionistic fuzzy submodules with respect to a t- norm; Soft Computing, 17 (7), 1253-1262, (2013).  (Springer)  (jointly with Saifur Rahman).
  21. On the definition of Atanassov's intuitionistic fuzzy subrings and ideals, Bulletin of     Malayasian Mathematical Sciences, Bull. Malays. Math. Sci. Soc., 36(2), 401–418, (2013). (jointly with Saifur Rahman and Bijan Davvaz).
  22. On the definition of intuitionistic fuzzy h-ideals of hemiring, Kyuongpook J of Maths, 53(4), (2013). ( jointly with Saifur Rahman).
  23. T -fuzzy N -subgroups and T -fuzzy Ideals of N –groups, Journal of Fuzzy Mathematics, 21(1), 241-250, (2013). (jointly with L. K Barthakur, G K Barthakur).
  24. On (Î,ÎÚq)-Fuzzy Essential Ideals of Rings, International Journal of Pure and Applied Mathematics, Academic Publ, 76(5), 633-645, (2012). (jointly with Kukil Kalpa Rajkhowa).
  25. Some Aspects of Atanassov’s Intuitionistic Fuzzy Submodule, International Journal of Pure and Applied Mathematics, Academic Publ, 77(3), 369-383, (2012).  (jointly with Saifur Rahman).
  26. Fuzzy Small Submodule and Jacobson L-Radical, International Journal of Mathematics and Mathematical Sciences, Volume 2011, 12 pages (2011), doi:10.1155/2011/980320.  ( jointly with Saifur Rahman).
  27. On fuzzy essential submodules, Journal of Fuzzy Mathematics, 17(1), 109-117, (2009). (jointly with M.C. Kalita).
  28. On annihilators of fuzzy subsets of modules, International Journal of Algebra, 3(10), 483-488, (2009). (jointly with M.C. Kalita).
  29.  Characterization of fuzzy substructures of a  near-Ring and a near-ring group,  Journal of Fuzzy Mathematics, 13(1), 159-167,  (2005). ( jointly with Lila K. Barthakur).
  30. On Fuzzy N-subgroups and Fuzzy ideals of near-rings and near-ring groups, Journal of Fuzzy Mathematics, 11(3), 567-580, (2003). ( jointly with Lila K. Barthakur).
  31. On near-ring with ACC on annihilators, Mathematica Pannonica, 8(2), 177-185, (1997). (jointly with K.C. Chowdhury).
  32. On left Goldie near-rings and its parts having minimum conditions, Indian Journal of Pure and applied Mathematics, 25(11), 1155 – 1162, (1994). (jointly with A. Masum, K.C.Chowdhury).
  33. FSD N-group with acc on annihilators, Indian Journal of Pure and applied Mathematics, 24(2), 747-755, (1993). ( jointly with A. Masum , K. C. Chowdhury).

 

  1. Award for securing first position in B. Sc. (Mathematics) 
  2. Gold medal for securing first position in M. Sc. (Mathematics)

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