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Rahul Kumar

Assistant Professor, Department of Mathematics,
BITS Pilani, Pilani Campus

Commutative Algebra
Department of Mathematics, Birla Institute of Technology & Science, Pilani- 333031, Rajasthan. India.

Publications

  1. H. Kim, R. Kumar, A generalization of conducive domains, Bulletin of the Korean Mathematical Society (Accepted)
  2. Kumar, R. Maximal non-pseudovaluation subrings of an integral domain. Czech Math J 74, 389–395 (2024). https://doi.org/10.21136/CMJ.2024.0122-23
  3. Gaur, A., Kumar, R. Maximal non-valuative domains. Proc Math Sci 134, 13 (2024). https://doi.org/10.1007/s12044-024-00781-7
  4. Kumar, Rahul, Maximal non-nonnil-principal ideal rings, Journal of Algebra and Its Applications, 2550254, https://doi.org/10.1142/S0219498825502548

  5. Kumar, R., Gaur, A. & Singh, A. Comparable overrings of a commutative ring. Beitr Algebra Geom (2023). https://doi.org/10.1007/s13366-023-00724-9
  6. Gaur, A., Kumar, R., & Singh, A. (2023). Almost ϕ-integrally closed rings. Communications in Algebra52(3), 960–968.
  7. Rahul Kumar, Anant Singh & Atul Gaur, A note on maximal non-λ-rings, Asian-Eur. J. Math.16(2023), no.10, Paper No. 2350174, 7 pp
  8. Atul Gaur & Rahul Kumar, On minimal ring extensions, Palest. J. Math., Vol. 12(Special Issue III) (2023) , 73–78
  9. Gaur A, Kumar R.  A question about maximal non φ-chained subrings.  Commun. Korean Math. Soc. 2023;38:11-19.  https://doi.org/10.4134/CKMS.c210272
  10. Gaur, A., Kumar, R. (2022). A Note on FMS Modules and FCP Extensions. In: Ashraf, M., Ali, A., De Filippis, V. (eds) Algebra and Related Topics with Applications. ICARTA 2019. Springer Proceedings in Mathematics & Statistics, vol 392. Springer, Singapore. https://doi.org/10.1007/978-981-19-3898-6_10
  11. Rahul Kumar & Atul Gaur, Maximal non-φ-pseudo-valuation rings, J. Algebra Appl. 21 (2022), no. 5, Paper No. 2250090.
  12. Rahul Kumar & Atul Gaur, A note on pairs of rings with the same prime ideals,  Hiroshima Math. J. 52 (1) 103 - 112, 2022.
  13. Atul Gaur & Rahul Kumar (2022) Maximal non-Prüfer and maximal non-φ-Prüfer rings, Comm. Algebra, 50:4, 1613-1631.
  14. Rahul Kumar & Atul Gaur, A note on residually small rings and modules, Palest. J. Math. 11(1) 149-151 (2022)
  15. Rahul Kumar & Atul Gaur, Pointwise maximal subrings, Beitr Algebra Geom 62(4) 843-856 (2021).
  16. Rahul Kumar & Atul Gaur, A note on φ-λ-rings and φ-∆-rings, Rend. Circ. Mat. Palermo, II. Ser 70(3), 1657-1667 (2021).
  17. Rahul Kumar & Atul Gaur, A note on imbedded prime divisors, Beitr Algebra Geom 62(3) 595-597 (2021).
  18. D.E. Dobbs, Atul Gaur & Rahul Kumar, On a field-theoretic invariant for extensions of commutative rings, II, Palest. J. Math. 10(2) 373-382 (2021).
  19. Rahul Kumar & Atul Gaur, A note on λ-domains and ∆-domains, Bull. Belg. Math. Soc. Simon Stevin 27(4) 499-508 (2020).
  20. Rahul Kumar & Atul Gaur, Three open questions on residually small rings, Rocky Mountain J. Math. 50(1) 177-180 (2020).
  21. Rahul Kumar & Atul Gaur, Avoidance principle and intersection property for a class of rings, Czechoslovak Math. J. 70(4) 1191-1196 (2020).
  22. Rahul Kumar & Atul Gaur, Maximal non valuation domains in an integral domain, Czechoslovak Math. J. 70(4) 1019-1032 (2020).
  23. Rahul Kumar & Atul Gaur, Maximal non λ-subrings, Czechoslovak Math. J. 70(2) 323-337 (2020).
  24. Rahul Kumar & Atul Gaur, λ-rings, φ-λ-rings, and φ-∆-rings, Filomat 33(16) 5135-5147 (2019).
  25. Atul Gaur & Rahul Kumar, Maximal non φ-chained rings and maximal non chained rings, Results Math 74:121 (2019).
  26. Rahul Kumar & Atul Gaur, ∆-extension of rings and invariance properties of ring extension under group action, J. Algebra Appl. 17(12) 1850239 (2018).
  27. Rahul Kumar & Atul Gaur, A Corrigendum to "Hereditary Properties Between a Ring and its Maximal Subrings", Ukr. Math. J. 70(4) 671-672 (2018).
  28. Rahul Kumar & Atul Gaur, On λ-extension of commutative rings, J. Algebra Appl. 17(4) 1850063 (2018).