Prof Shiv Datt Kumar

@mnnit.ac.in

Professor [HAG]
Motilal Nehru National Institute of Technology Allahabad

Prof Shiv Datt Kumar


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https://researchid.co/shivdattk

RESEARCH, TEACHING, or OTHER INTERESTS

Mathematics, Algebra and Number Theory, Applied Mathematics, Geometry and Topology
52

Scopus Publications

425

Scholar Citations

12

Scholar h-index

19

Scholar i10-index

Scopus Publications

RECENT SCHOLAR PUBLICATIONS

  • Non-abelian extension theory of Lie rings
    DK Singh, MS Pandey, SD Kumar
    Journal of Algebra and Its Applications 25 (04), 2550379 , 2026
    2026
    Citations: 2
  • On S-integral domains and S-version of Krull intersection theorem,
    Tushar Singh, G. K. Verma, Shiv Datt Kumar
    Filomat 40 (3), 1033–1044 , 2026
    2026
  • Lasker-Noether theorem for Nonnil-S-Noetherian Rings,
    Tushar Singh, Shiv Datt Kumar
    Siberian Mathematical Journal (SCI journal), 67 (1), 235–243. , 2026
    2026
  • A study of S -primary decompositions
    T Singh, AU Ansari, SD Kumar
    Czechoslovak Mathematical Journal, 1-13 , 2025
    2025
    Citations: 2
  • S-versions and S-generalisation of Nil clean ideals and Nil* Noetherian rings,
    Tushar singh, Shiv Datt Kumar
    Asian Europian Journal of Mathematics (E-SCI)., 2550108-14 , 2025
    2025
  • Unrestricted Fibonacci and Lucas Octonions
    SDK Jitender
    Palestine Journal of Mathematics (Scopus) 14 (2), 392-402 , 2025
    2025
    Citations: 2
  • Eight and Sixteen Dimensional Seminormed Hopf Algebra,
    SDK Jitender
    Palestine Journal of Mathematics (Scopus), 14 (2), 577-604 , 2025
    2025
  • Existence and uniqueness of S -primary decomposition in S -Noetherian modules
    T Singh, AU Ansari, SD Kumar
    Communications in Algebra 52 (10), 4515-4524 , 2024
    2024
    Citations: 10
  • Lie perfect, Lie central extension and generalization of nilpotency in multiplicative Lie algebras
    DK Singh, MS Pandey, SD Kumar
    Czechoslovak Mathematical Journal 74 (1), 283-299 , 2024
    2024
    Citations: 4
  • Automorphisms of Multiplicative Lie algebra Extensions
    DK Singh, SD Kumar
    arXiv preprint arXiv:2403.19662 , 2024
    2024
    Citations: 2
  • Sixteen-dimensional Sedenion-like Associative Algebra
    SD Kumar
    arXiv preprint arXiv:2401.01166 , 2024
    2024
  • S-Noetherian rings, modules and their generalizations
    T Singh, AU Ansari, SD Kumar
    Surveys in Mathematics and its Applications 18, 163-182 , 2023
    2023
    Citations: 10
  • Advances in Pure and Applied Algebra: Proceedings of the CONIAPS XXVII International Conference 2021
    RK Mishra, MK Patel, SD Kumar
    Walter de Gruyter GmbH & Co KG , 2023
    2023
  • A new reduction algorithm for differential-algebraic systems with power series coefficients
    S Thota, SD Kumar
    Information Sciences Letters 10 (1), 59-66 , 2021
    2021
    Citations: 27
  • A symbolic method for finding approximate solution of neutral functional-differential equations with proportional delays
    S Thota, SD Kumar
    Jordan Journal of Mathematics and Statistics 14 (4), 671-689 , 2021
    2021
    Citations: 10
  • DIFFERENT TYPES OF G-PRIME IDEALS ASSOCIATED TO A GRADED MODULE AND GRADED PRIMARY DECOMPOSITION IN A GRADED PRUFER DOMAIN
    AU Ansari, BK Sharma, SD Kumar
    International Electronic Journal of Algebra 28, 141-155 , 2020
    2020
    Citations: 2
  • Maple implementation of a reduction algorithm for differential-algebraic systems with variable coefficients
    S Thota, SD Kumar
    International Conference on Recent Trends in Engineering & Technology and … , 2019
    2019
    Citations: 9
  • ELLIPTIC CURVES ARISING FROM THE TRIANGULAR NUMBERS
    A Juyal, SD Kumar, D Moody
    Integers: electronic journal of combinatorial number theory 19, A10 , 2019
    2019
    Citations: 3
  • On the family of elliptic curves y 2= x 3-m 2 x+ p 2
    A Juyal, SD Kumar
    Proceedings-Mathematical Sciences 128 (5), 54 , 2018
    2018
    Citations: 11
  • An asymptotic expansion of a Lambert series associated to cusp forms
    K Chakraborty, A Juyal, SD Kumar, B Maji
    Int. J. Number Theory 14 (1), 289-299 , 2018
    2018
    Citations: 16

MOST CITED SCHOLAR PUBLICATIONS

  • Symbolic algorithm for a system of differential-algebraic equations
    S Thota, SD Kumar
    Kyungpook Mathematical Journal 56 (4), 1141-1160 , 2016
    2016.0
    Citations: 36
  • Solving system of higher-order linear differential equations on the level of operators
    S Thota, SD Kumar
    International journal of pure and applied mathematics 106 (1), 11-21 , 2016
    2016.0
    Citations: 35
  • A new reduction algorithm for differential-algebraic systems with power series coefficients
    S Thota, SD Kumar
    Information Sciences Letters 10 (1), 59-66 , 2021
    2021.0
    Citations: 27
  • Post-emergence efficacy of atrazine in controlling weeds in pearl-millet
    RS Balyan, S Kumar, RK Malik, RS Panwar
    Indian Journal of Weed Science 25 (1and2), 7-11 , 1993
    1993.0
    Citations: 27
  • On a mixed interpolation with integral conditions at arbitrary nodes
    S Thota, SD Kumar
    Cogent Mathematics 3 (1), 1151613 , 2016
    2016.0
    Citations: 24
  • A new method for general solution of system of higher-order linear differential equations
    S Thota, SD Kumar
    Technology 240, 243 , 2015
    2015.0
    Citations: 22
  • Surface modification of semiconductor photoelectrode for improved solar cell performance
    M Tripathi, K Pandey, SD Kumar
    Solar energy materials and solar cells 91 (18), 1663-1668 , 2007
    2007.0
    Citations: 22
  • Symbolic method for polynomial interpolation with Stieltjes conditions
    S Thota, SD Kumar
    International conference on Frontiers in mathematics 1, 225-228 , 2015
    2015.0
    Citations: 21
  • Primary decomposition over rings graded by finitely generated Abelian groups
    M Perling, SD Kumar
    Journal of Algebra 318 (2), 553-561 , 2007
    2007.0
    Citations: 17
  • An asymptotic expansion of a Lambert series associated to cusp forms
    K Chakraborty, A Juyal, SD Kumar, B Maji
    Int. J. Number Theory 14 (1), 289-299 , 2018
    2018.0
    Citations: 16
  • Maple Implementation of Symbolic Methods for Initial Value Problems, Research for Resurgence, Vol–1, No. 1 (2018), 21–39
    S Thota, SD Kumar
    Citations: 15
  • Maple implementation of symbolic methods for initial value problems
    S Thota, SD Kumar
    Research for resurgence 1 (1), 21-39 , 2018
    2018.0
    Citations: 13
  • Fuzzy method for multiobjective linear plus linear fractional programming problem
    P Singh, SD Kumar, RK Singh
    International Mathematical Forum 5 (60), 2971-2983 , 2010
    2010.0
    Citations: 12
  • On the family of elliptic curves y 2= x 3-m 2 x+ p 2
    A Juyal, SD Kumar
    Proceedings-Mathematical Sciences 128 (5), 54 , 2018
    2018.0
    Citations: 11
  • Some results on generators of ideals
    SD Kumar, S Mandal
    Journal of Pure and Applied Algebra 169 (1), 29-32 , 2002
    2002.0
    Citations: 11
  • Existence and uniqueness of S -primary decomposition in S -Noetherian modules
    T Singh, AU Ansari, SD Kumar
    Communications in Algebra 52 (10), 4515-4524 , 2024
    2024.0
    Citations: 10
  • S-Noetherian rings, modules and their generalizations
    T Singh, AU Ansari, SD Kumar
    Surveys in Mathematics and its Applications 18, 163-182 , 2023
    2023.0
    Citations: 10
  • A symbolic method for finding approximate solution of neutral functional-differential equations with proportional delays
    S Thota, SD Kumar
    Jordan Journal of Mathematics and Statistics 14 (4), 671-689 , 2021
    2021.0
    Citations: 10
  • Uniqueness of graded primary decomposition of modules graded over finitely generated abelian groups
    SD Kumar, S Behara
    Communications in Algebra 39 (7), 2607-2614 , 2011
    2011.0
    Citations: 10
  • Maple implementation of a reduction algorithm for differential-algebraic systems with variable coefficients
    S Thota, SD Kumar
    International Conference on Recent Trends in Engineering & Technology and … , 2019
    2019.0
    Citations: 9