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      <title>researchpaper
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Area of Research Interest
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Commutative Algebra, Multiplication Modules, Algebraic Graph Theory.</font><br>
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Research Paper’s Published:</b></font><br>
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1. P.R. Mishra, Prachi Gupta, Atul Gaur, On full differential uniformity of permutations on the ring of integers modulo n, To appear in Applicable Algebra in 
Engineering, Communications and Computing, https://doi.org/10.1007/s00200-021-00503-w. (SCIE Publication)<br>
2. Rahul Kumar & Atul Gaur, A note on ф-λ-rings and ф-∆-rings, To appear in Rendiconti del Circolo Matematico di Palermo Series II, https://doi.org/10.1007/s12215-020-00580-9. (SCIE Publication)<br>
3. Rahul Kumar & Atul Gaur, A note on residually small rings and modules, To appear in Palestine Journal of Mathematics. (ESCI
Publication)<br>
4. D.E. Dobbs, Atul Gaur, Rahul Kumar, On a Field-theoretic invariant for extensions of commutative rings, II, Palestine
Journal of Mathematics, 10(2), 373-382, 2021. (ESCI Publication)<br>
5. Rahul Kumar & Atul Gaur, Maximal non-ф-pseudo-valuation rings, To appear in Journal of Algebra and Its Applications. 
DOI: 10.1142/S0219498822500906. (SCIE Publication)<br>
6. Rahul Kumar & Atul Gaur, Pointwise maximal subrings, To appear in Contributions to Algebra and Geometry, DOI: 10.1007/s13366-
020-00537-0. (ESCI Publication)<br>
7. Rahul Kumar Atul Gaur, A note on imbedded prime divisors, Contributions to Algebra and Geometry, 62(3), 595-597, 2021. (ESCI Publication)<br>
8. Arti Sharma & Atul Gaur, Energy of a Maximal Graph, Palestine Journal of Mathematics, 10(1), 69-77, 2021. (ESCI Publication)<br>
9. H. Q. Dinh, Atul Gaur, I. Gupta, A. K. Singh, Manoj Kumar Singh & R. Tansuchat, Hamming distance of repeated root constacyclic codes of length 2ps over Fpm + uFpm, Applicable Algebra in Engineering, Communication and Computing, 31(3-4), 291-305, 2020.(SCIE Publication)<br>
10. H. Q. Dinh, Atul Gaur, A. K. Singh, Manoj Kumar Singh, W. Yamaka, b-Symbol Distance of Constacylic Codes of Length ps Over Fpm + uFpm, IEEE Access, 8, 67330-67341, 2020.(SCIE Publication)<br>
11. Rahul Kumar & Atul Gaur, A note on λ-domains and ∆-domains, Bulletin of the Belgian Mathematical Society, 27(4), 2020.(SCIE Publication)<br>
12. Rahul Kumar & Atul Gaur, Three open questions on residually small rings, Rocky Mountain Journal of Mathematics, 50(1), 177-180,
2020. (SCIE Publication)<br>
13. Rahul Kumar & Atul Gaur, Avoidance principle and intersection property for a class of rings, Czechoslovak Mathematical Journal,
70(4), 1091-1096, 2020. (SCIE Publication)<br>
14. Rahul Kumar & Atul Gaur, Maximal non valuation domains in an integral domain, 70(4), Czechoslovak Mathematical Journal, 1019-
1032, 2020. (SCIE Publication)<br>
15. Rahul Kumar & Atul Gaur, Maximal non λ-subrings, Czechoslovak Mathematical Journal, 70(2), 323-337, 2020. (SCIE Publication)<br>
16. Rahul Kumar & Atul Gaur, λ-rings, ф-λ-rings, and ф-∆-rings, Filomat, 33(16), 5125{5134, 2019. (SCIE Publication)<br>
17. Arti Sharma & Atul Gaur, Maximal Labeling of Graphs, Discrete Mathematics, Algorithms and Applications, 11(4), 1950044, 2019.
(ESCI Publication)<br>
18. Atul Gaur & Rahul Kumar, Maximal Non ф-Chained Rings and Maximal Non Chained Rings, Results in Mathematics, 74(3), 2019.
(SCIE Publication)<br>
19. Arti Sharma & Atul Gaur, Non-reduced rings of small order and their maximal graph, Journal of Algebra and Related Topics, 6(1),
35-44, 2018. <br>
20. Rahul Kumar & Atul Gaur, ∆-extension of rings and invariance properties of ring extension under group action, Journal of Algebra and
its Applications, 17(12), 1850239, 2018. (SCIE Publication)<br>
21. Rahul Kumar & Atul Gaur, A Corrigendum to "Hereditary Properties Between a Ring and its Maximal Subrings", Ukrainian Mathematical Journal, 70(4), 583-584, 2018. (SCIE Publication)<br>
22. Arti Sharma & Atul Gaur, When the Maximal Graph is Planar, Outerplanar and Ring Graph, Discrete Mathematics, Algorithms
and Applications, 10(3), 1850032, 2018. (ESCI Publication)<br>
23. Rahul Kumar & Atul Gaur, On λ-extension of commutative rings, Journal of Algebra and Its Applications, 17(4), 1850063, 2018.
(SCIE Publication)<br>
24. Mukti Acharya, Pranjali, Atul Gaur, Amit Kumar, Line Signed Graph of a Signed Total Graph, Electronic Notes in Discrete Math-
ematics, 63, 389-397, 2017.<br>
25. Atul Gaur & Arti Sharma, Eulerian Graphs and Automorphisms of a Maximal Graph, Indian Journal of Pure and Applied Mathematics, 48(2), 233-244, 2017. (SCIE Publication)<br>
26. Arti Sharma & Atul Gaur, Hamiltonian property of a maximal graph and chromatic number of its line graph, JP Journal of Algebra,
Number Theory & Applications, 38(6), 589-607, 2016. (ESCI Publication)<br> 
27. Pranjali, Atul Gaur, Mukti Acharya, C-Consistency in signed total graphs of commutative rings, Discrete Mathematics, Algorithms
and Applications, 8(3), 2016. (ESCI Publication)<br>
28. Arti Sharma & Atul Gaur, Line Graphs associated to the Maximal Graphs, Journal of Algebra and Related Topics, 3(1), 1-11, 2015. <br>
29. Atul Gaur & Arti Sharma, Maximal Graph of a commutative ring, International Journal of Algebra, 7(12): 581-588, 2013.<br>
30. Atul Gaur & Alok Kumar Maloo, The Theta ideal, Dense Submodule and the Forcing Linearity Number for a Multiplication Module,
Contributions to Algebra and Geometry, 50(2): 589-602, 2009. (ESCI Publication)<br>
31. Atul Gaur & Alok Kumar Maloo, Maximally Differentially Graded Ideals in Zero Characteristic, Hiroshima Mathematical Journal,
38(1): 31-35, 2008. (SCIE Publication)<br>
32. Atul Gaur & Alok Kumar Maloo, Minimal Prime Submodules, International Journal of Algebra, 2(20): 953-956, 2008. <br>
33. Atul Gaur, Alok Kumar Maloo, Anand Parkash, Prime Submodules in Multiplication Modules, International Journal of Algebra, 1(8):
375-380, 2007.<br>
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