Publications

In Journals : (in reverse chronological order)a

1. Leavitt path algebra for power graph and its supergraph, Communications in Algebra, (Published online) https://doi.org/10.1080/00927872.2025.2493927  (with Sumanta Das and M. K. Sen)

2. Congruences on topological semigroups, Bol. Soc. Mat. Mex., Vol. 31, no. 3 (2025), Paper No. 112, 15 pp. https://doi.org/10.1007/s40590-025-00798-6 (with Monika Paul)

3. Von Neumann regular semimodule II, Asian-European Journal of Mathematics,Vol. 18, no. 1 (2025) 2450090 (13 pages) https://doi.org/10.1142/S1793557124500906  (with M. K. Sen and Sabnam Swomin)

4. Leavitt path algebras for order prime Cayley graphs of finite groups, Communications in Combinatorics and Optimization, Vol. 10, no. 4 (2025), 743 - 761.  https://doi.org/10.22049/cco.2024.28966.1798   (with Sumanta Das and M. K. Sen)

5. Topological semirings which are union of topological skew-rings, Topology Proceedings, Vol. 65 (2025), 11 - 43. (with Gopal Adak)

6. Completely regular R-semiring and completely regular L-semiring, Quasigroups and Related Systems, Vol. 32 (2024), 177 – 189. https://doi.org/10.56415/qrs.v32.14  (with Moumita Bag and M. K. Sen)

7. On order prime divisor graph of finite groups - II, Southeast Asian Bulletin of Mathematics, Vol. 48, no. 4 (2024), 531 – 551. (with M. K. Sen and Sumanta Das)

8. Grothendieck groups of purely infinite simple Leavitt path algebras for punctured power graphs of finite groups, Journal of Algebra and its Applications, Vol. 22, No. 11 (2023) 2350234 (11 pages) https://doi.org/10.1142/S0219498823502341 (with Sumanta Das and M. K. Sen)

9. Retractive nil-extensions of completely regular semirings, Asian European Journal of Mathematics, Vol. 16, No. 9 (2023) 2350163 (14 pages) https://doi.org/10.1142/S1793557123501632 (with Uma Kapuria and B. Mitra)

10. Clifford Semigroup action, Asian European Journal of Mathematics, Vol. 16, No. 4 (2023) 2350067 (19 pages) https://doi.org/10.1142/S1793557123500675 (with Monika Paul)

11. Topological S-act congruences, Quasigroups and Related Systems, Vol. 30, No. 2 (2022), 275 – 286. (with Monika Paul)

12. Leavitt path algebras for power graphs of finite groups, Journal of Algebra and its Applications, Vol. 21, No. 10 (2022), 2250209 (13 pages) https://doi.org/10.1142/S0219498822502097 (with Sumanta Das and M. K. Sen)

13. Subdirect product of an idempotent semiring and a b-lattice of skew-rings, Asian-European Journal of Mathematics, Vol. 15, no. 5 (2022), 2250097 (12 pages) https://doi.org/10.1142/S1793557122500978 (with R. Debnath and A. K. Bhuniya)

14. Weak multiplication semimodule, Quasigroups and Related Systems, Vol. 30, no. 1 (2022), 123 – 132. (with M. K. Sen and Sabnam Swomin)

15. On spined products of quasi rectangular skew-rings, Southeast Asian Bull. Math., Vol. 46, no. 2 (2022), 227 – 240. (with R. Chatterje)

16. The congruence Y* on quasi completely regular semirings, Asian-European Journal of Mathematics, Vol. 15, no. 2 (2022) 2250024 (14 pages) https://doi.org/10.1142/S1793557122500243 (with R. Ghosh)

17. Semilattice of topological groups, Communications in Algebra, Vol. 49, no. 9 (2021), 3905–3925. https://doi.org/10.1080/00927872.2021.1909606 (with Monika Paul)

18. On order prime divisor graph of finite groups, Discussiones Mathematicae - General Algebra and Applications, Vol. 41 (2021), 419- 437. (with M. K. Sen and Sumanta Das)

19. Von Neumann regular semimodule, An. Stiint. Univ. Al. I. Cuza Iasi. Mat. (N.S.), Vol. LXVII, no. 2 (2021), 279 – 294. (with M. K. Sen and Sabnam Swomin)

20. Congruences on quasi completely regular semirings, Semigroup Forum, Vol. 102, no. 3 (2021), 725 – 736. https://doi.org/10.1007/s00233-021-10186-x (with R. Ghosh) 

21. Inverse semimodules, Asian-European Journal of Mathematics, Vol. 14, no. 2 (2021), 2150022 (14 pages) DOI:10.1142/S1793557121500224 (with M. K. Sen and A. K. Bhuniya)

22. Congruences on nil-extension of b-lattice of skew-rings, Quasigroups and Related Systems, Vol. 27, no. 2 (2019), 273 – 280. (with Uma Kapuria and B. Mitra)

23. Quasi orthodox quasi completely regular semirings, Southeast Asian Bull. Math., Vol. 43, no.  6 (2019), 847 – 854. (with R. Ghosh)

24. b-lattices of nil-extensions of rectangular skew-rings, Quasigroups and Related Systems, Vol. 27, no. 1 (2019), 81 - 90 (with R. Chatterjee)

25. Leavitt path algebras with coefficients in a Clifford semifield, Communications in Algebra, Vol. 47, no. 2 (2019), 660 - 675. https://doi.org/10.1080/00927872.2018.1492589 (with R. Sen Gupta and M. K. Sen)

26. Retractive nil-extensions of completely simple semirings, Quasigroups and Related Systems, Vol. 26 (2018), 103 - 108. (with R. Chatterjee & R. Ghosh)

27. Completely Archimedean semirings, Discussiones Mathematicae-General Algebra and Applications, Vol. 38 (2018), 115–129. (with R. Chatterjee)

28. On Quasi Completely Inverse Semirings, Southeast Asian Bulletin of Mathematics, Vol. 41 (2017), 879–886. (with R. Ghosh and R. Chatterjee)

29. The Congruence Y* on completely regular semirings, Quasigroups and Related Systems, Vol. 25 (2017), 279 - 288.

30. Bipartite and Planar Power Graph of Finite Groups, Southeast Asian Bulletin of Mathematics, Vol. 39 (2015), 539-543.

31. The Congruence Y* on GV-semigroups, Afrika Mathematika, Vol. 26 (2015), 1371-1378.

32. On Quasi Completely Regular Semirings, Semigroup Forum, Vol. 89, no. 1 (2014), 422-430. DOI 10.1007/s00233-014-9579-y (with R. Ghosh)

33. On Balanced Order Relations and the Normal Hull of Completely Simple Semirings, Discussiones Mathematicae - General Algebra and Applications, Vol. 34 (2014), 75–84.

34. Congruences on bands of π–groups, Discussiones Mathematicae - General Algebra and Applications, Vol. 33 (2013), 5 - 11.

35. Nil-extensions of Completely Simple Semirings, Discussiones Mathematicae - General Algebra and Applications, Vol. 33 (2013), 201-209. (with R. Ghosh)

36. Clifford Congruences on Generalized Quasi-orthodox GV-semigroups, Discussiones Mathematicae - General Algebra and Applications, Vol. 33 (2013), 137-145.

37. On Completely Regular Semirings, Bull. Cal. Math. Soc., Vol. 98, no. 4 (2006), 319 - 328. (with M. K. Sen and K. P. Shum)

38. Congruences on additive inverse semirings, Southeast Asian Bulletin of Mathematics, Vol. 30, no. 3 (2006), 473 - 484.

39. Matrix semiring, J. Korea Soc. Math. Educ. Se. B Pure Appl. Math., Vol. 13, no. 2 (2006), 95 – 111. (with M. K. Sen)

40. Regular Additive Inverse Semirings, Acta Math. Univ. Comenian. (N. S.), Vol. 75, no. 1 (2006), 137-146. (with M. K. Sen)

41. Clifford semirings and generalized Clifford semirings, Taiwanese Journal of Mathematics, Vol. 9, no. 3 (2005), 433 – 444. (with M. K. Sen and K. P. Shum)

42. Completely simple semirings, Bull. Cal. Math. Soc., Vol. 97, no. 2 (2005), 163 – 172. (with M. K. Sen and H. J. Weinert)

43. On semirings which are distributive lattices of rings, Kyungpook Math. J., Vol. 45, no. 1 (2005), 21 - 31.

44. A note on orthodox additive inverse semirings, Acta Univ. Palack. Olomuc. Fac. Rerum Natur. Math.,Vol. 43 (2004), 149 – 154. (with M. K. Sen)

45. Semirings embedded in a completely regular semirings, Acta Univ. Palack. Olomuc. Fac. Rerum Natur. Math., Vol. 43 (2004), 143 – 148. (with M. K. Sen)

46. Clifford semifields, Discussiones Mathematicae - General Algebra and Applications, Vol. 24, no. 1 (2004), 125 – 135. (with M. K. Sen)

Books :

• Topics in Abstract Algebra (Fourth Edition), University Press (2022), ISBN : 978-93-93330-24-6

•  (With M. K. Sen, Shamik Ghosh and Parthasarathi Mukhopadhyay)

• Applications of Calculus : Theory and Problems (Fourth Edition), Academic Publishers (2019), ISBN : 978-93-87162-41-9 (With Sitanshu Bandyopadhyay)

Conference/seminar volumes :

• Semisimple Clifford semirings, Advances in algebra, Proceedings of ICM -2002, World Sci. Publ., River Edge, NJ (2003), 221-231. (with M. K. Sen and K. P. Shum)

Survey articles :

• Some aspects of semirings, Southeast Asian Bull. Math., Vol. 45, no. 6 (2021), 919-930. (with M. K. Sen and K. P. Shum)