Mani Shankar Pandey

@iiitk.ac.in

Assistant Professor, Department of Sciences
Indian Institute of Information Technology Design and Manufacturing Kurnool

Mani Shankar Pandey


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https://researchid.co/mspandey

RESEARCH, TEACHING, or OTHER INTERESTS

Algebra and Number Theory, Mathematics
17

Scopus Publications

55

Scholar Citations

5

Scholar h-index

2

Scholar i10-index

Scopus Publications

  • The Bogomolov multiplier of a multiplicative Lie algebra
    Amit Kumar, Renu Joshi, Mani Shankar Pandey, Sumit Kumar Upadhyay
    Ricerche Di Matematica, 2026
  • Non-abelian extension theory of Lie rings
    Dev Karan Singh, Mani Shankar Pandey, Shiv Datt Kumar
    Journal of Algebra and Its Applications, 2026
    In this paper, we establish fundamental results concerning non-abelian extensions of Lie rings. Specifically, we demonstrate one-to-one correspondence between the equivalence classes of non-abelian extensions of Lie ring [Formula: see text] by Lie ring [Formula: see text] and the elements of second cohomology group [Formula: see text], where [Formula: see text] acts on [Formula: see text]. Additionally, we provide necessary and sufficient condition under which such extensions exist, particularly when a specific abstract kernel is involved.
  • On the power graphs over gyrogroups
    Yogendra Singh, Anand Kumar Tiwari, Mani Shankar Pandey, Fawad Ali
    Asian European Journal of Mathematics, 2026
    The power graph [Formula: see text] of a group [Formula: see text] is a simple graph with the vertex set [Formula: see text] such that two distinct vertices [Formula: see text] are adjacent in [Formula: see text] if and only if [Formula: see text] or [Formula: see text], for some [Formula: see text]. The purpose of this paper is to introduce the notion of the power graph for a gyrogroup. Using this, we investigate the combinatorial properties of power graph of a gyrogroup, [Formula: see text], of order [Formula: see text] for [Formula: see text]. In particular, we determine the Hamiltonicity and planarity of the power graph of [Formula: see text]. Consequently, we calculate distance properties, resolving polynomial, independent domination polynomial, Hosoya and reciprocal Hosoya polynomials, characteristic polynomials, and the spectral radius of [Formula: see text].
  • Generalized derivations and quasi derivations of current Hom-Lie algebras
    Omaima Alshanqiti, , Ashutosh Pandey, Mani Shankar Pandey, , and
    Aims Mathematics, 2026
    In this paper, we investigate the structure of generalized derivations and quasiderivations of the tensor product algebra $ \mathcal{H} \otimes \mathcal{A} $, where $ \mathcal{H} $ is a Hom-Lie algebra and $ \mathcal{A} $ is a commutative associative algebra with unity over the field $ \mathcal{K} $. We examine whether every generalized derivation (respectively, quasiderivation) of $ \mathcal{H} \otimes \mathcal{A} $ can be expressed as a sum of a derivation and a linear map in the centroid of $ \mathcal{H} \otimes \mathcal{A} $, provided that this property holds for $ \mathcal{H} $. We establish a partial affirmative result under suitable conditions and discuss the algebraic implications of our findings.
  • Multiplicative Lie crossed module of multiplicative Lie algebras
    Vineet Kumar, Dev Karan Singh, Mani Shankar Pandey, Ravinder Katta
    Communications in Algebra, 2026
    We introduce the concept of crossed modules in multiplicative Lie algebras, termed multiplicative Lie crossed modules. We construct a pair of adjoint functors between the category of multiplicative Lie crossed modules and the category of multiplicative Lie algebras. Furthermore, we define isoclinism for multiplicative Lie crossed modules and investigate its fundamental properties.
  • Isoclinism in multiplicative Lie algebras
    Mani Shankar Pandey, Sumit Kumar Upadhyay
    Publicationes Mathematicae Debrecen, 2025
    The purpose of this paper is to introduce the notion of isoclinism and cover in a multiplicative Lie algebra which may be helpful to describe all multiplicative Lie algebra structures on a group. Consequently, we give the existence of the stem multiplicative Lie algebra. We also give the necessary and sufficient conditions for the existence of stem cover of a multiplicative Lie algebra.
  • Semi-cross product and extension theory of gyrogroups
    Quasigroups and Related Systems, 2025
  • Spectral properties of multiplicative Lie algebras
    Vineet Kumar, Dev Karan Singh, Ashutosh Pandey, Mani Shankar Pandey
    Communications in Algebra, 2025
    In this paper, we introduce the notion of radicals in a multiplicative Lie algebra G and explore their fundamental properties. We develop the spectral topology on the set of prime ideals, Spec (G), and characterize its irreducible closed subsets, demonstrating that each subset possesses a unique generic point.
  • Group Completion of a Gyrogroup
    Akshay Kumar, Mani Shankar Pandey, Seema Kushwaha, Sumit Kumar Upadhyay
    National Academy Science Letters, 2024
  • Lie perfect, Lie central extension and generalization of nilpotency in multiplicative Lie algebras
    Dev Karan Singh, Mani Shankar Pandey, Shiv Datt Kumar
    Czechoslovak Mathematical Journal, 2024
    summary:This paper aims to introduce and explore the concept of Lie perfect multiplicative Lie algebras, with a particular focus on their connections to the central extension theory of multiplicative Lie algebras. The primary objective is to establish and provide proof for a range of results derived from Lie perfect multiplicative Lie algebras. Furthermore, the study extends the notion of Lie nilpotency by introducing and examining the concept of local nilpotency within multiplicative Lie algebras. The paper presents an innovative adaptation of the Hirsch-Plotkin theorem specifically tailored for multiplicative Lie algebras.\looseness -1
  • A Note on b-Generalized Skew Derivations on Prime Rings
    Mani Shankar Pandey, Ashutosh Pandey
    Springer Proceedings in Mathematics and Statistics, 2024
  • A characterization of b-generalized skew derivations on a Lie ideal in a prime ring
    Omaima Alshanqiti, Ashutosh Pandey, Mani Shankar Pandey
    Aims Mathematics, 2024
  • Nilpotency and capability in multiplicative Lie algebras
    Amit Kumar, Mani Shankar Pandey, Sumit Kumar Upadhyay
    Communications in Algebra, 2024
  • CLASSIFICATION OF MULTIPLICATIVE LIE ALGEBRA STRUCTURES ON A FINITE GROUP
    Mani Shankar Pandey, Sumit Kumar Upadhyay
    Colloquium Mathematicum, 2022
  • Lie commutator, solvability and nilpotency in multiplicative Lie algebras
    Mani Shankar Pandey, Ramji Lal, Sumit Kumar Upadhyay
    Journal of Algebra and Its Applications, 2021
  • Theory of extensions of multiplicative lie algebras
    Journal of Lie Theory, 2021
  • A Construction of Bent Functions on a Finite Group
    Mani Shankar Pandey, Sumit Kumar Upadhyay, Vipul Kakkar
    National Academy Science Letters, 2020

RECENT SCHOLAR PUBLICATIONS

  • The Bogomolov multiplier of a multiplicative Lie algebra: A. Kumar et al.
    A Kumar, R Joshi, MS Pandey, SK Upadhyay
    Ricerche di Matematica 75 (2), 1083-1097 , 2026
    2026.0
  • Non-abelian extension theory of Lie rings
    DK Singh, MS Pandey, SD Kumar
    Journal of Algebra and Its Applications 25 (04), 2550379 , 2026
    2026.0
    Citations: 2
  • On the power graphs over gyrogroups
    Y Singh, AK Tiwari, MS Pandey, F Ali
    Asian-European Journal of Mathematics 19 (02), 2540012 , 2026
    2026.0
    Citations: 2
  • Multiplicative Lie crossed module of multiplicative Lie algebras
    V Kumar, DK Singh, MS Pandey, R Katta
    Communications in Algebra 54 (2), 619-630 , 2026
    2026.0
  • Spectral properties of multiplicative Lie algebras
    V Kumar, DK Singh, A Pandey, MS Pandey
    Communications in Algebra 53 (9), 3963-3973 , 2025
    2025.0
    Citations: 1
  • Semi-cross product and extension theory of gyrogroups
    A Kumar, MS Pandey, S Kushwaha, SK Upadhyay
    Quasigroups and Related Systems, 37-56 , 2025
    2025.0
  • Isoclinism in multiplicative Lie algebras
    SK UPADHYAY, MS PANDEY
    Publicationes Mathematicae Debrecen 106 (1-2), 53-67 , 2025
    2025.0
  • Nilpotency and capability in multiplicative Lie algebras
    A Kumar, MS Pandey, SK Upadhyay
    Communications in Algebra 52 (9), 3799-3811 , 2024
    2024.0
    Citations: 5
  • Group completion of a gyrogroup
    A Kumar, MS Pandey, S Kushwaha, SK Upadhyay
    National Academy Science Letters 47 (4), 419-424 , 2024
    2024.0
    Citations: 3
  • 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
    2024.0
    Citations: 4
  • A characterization of b-generalized skew derivations on a Lie ideal in a prime ring
    O Alshanqiti, A Pandey, MS Pandey
    AIMS MATHEMATICS 9 (12), 34184-34204 , 2024
    2024.0
  • Isoclinism in multiplicative Lie algebras
    MS Pandey, SK Upadhyay
    arXiv , 2022
    2022.0
    Citations: 7
  • On the power graph of a certain gyrogroup
    Y Singh, AK Tiwari, F Ali, MS Pandey
    arXiv preprint arXiv:2208.00743 , 2022
    2022.0
    Citations: 1
  • A Note on -Generalized Skew Derivations on Prime Rings
    MS Pandey, A Pandey
    Workshop on Associative Rings and Algebras with Additional Structures, 87-101 , 2022
    2022.0
    Citations: 1
  • Classification of multiplicative Lie algebra structures on a finite group
    MS Pandey, SK Upadhyay
    Colloq. Math 168, 25-34 , 2022
    2022.0
    Citations: 11
  • Lie commutator, solvability and nilpotency in multiplicative Lie algebras
    MS Pandey, R Lal, SK Upadhyay
    Journal of algebra and its applications 20 (08), 2150138 , 2021
    2021.0
    Citations: 11
  • Theory of extensions of multiplicative Lie algebras
    MS Pandey, SK Upadhyay
    Journal of Lie Theory 31 (3), 637--658 , 2021
    2021.0
    Citations: 7
  • A Construction of Bent Functions on a Finite Group
    MS Pandey, SK Upadhyay, V Kakkar
    National Academy Science Letters 43 (3), 247-251 , 2020
    2020.0
  • A Study of Multiplicative Lie Algebra and its Classification
    MS Pandey
    Allahabad , 0

MOST CITED SCHOLAR PUBLICATIONS

  • Classification of multiplicative Lie algebra structures on a finite group
    MS Pandey, SK Upadhyay
    Colloq. Math 168, 25-34 , 2022
    2022.0
    Citations: 11
  • Lie commutator, solvability and nilpotency in multiplicative Lie algebras
    MS Pandey, R Lal, SK Upadhyay
    Journal of algebra and its applications 20 (08), 2150138 , 2021
    2021.0
    Citations: 11
  • Isoclinism in multiplicative Lie algebras
    MS Pandey, SK Upadhyay
    arXiv , 2022
    2022.0
    Citations: 7
  • Theory of extensions of multiplicative Lie algebras
    MS Pandey, SK Upadhyay
    Journal of Lie Theory 31 (3), 637--658 , 2021
    2021.0
    Citations: 7
  • Nilpotency and capability in multiplicative Lie algebras
    A Kumar, MS Pandey, SK Upadhyay
    Communications in Algebra 52 (9), 3799-3811 , 2024
    2024.0
    Citations: 5
  • 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
    2024.0
    Citations: 4
  • Group completion of a gyrogroup
    A Kumar, MS Pandey, S Kushwaha, SK Upadhyay
    National Academy Science Letters 47 (4), 419-424 , 2024
    2024.0
    Citations: 3
  • Non-abelian extension theory of Lie rings
    DK Singh, MS Pandey, SD Kumar
    Journal of Algebra and Its Applications 25 (04), 2550379 , 2026
    2026.0
    Citations: 2
  • On the power graphs over gyrogroups
    Y Singh, AK Tiwari, MS Pandey, F Ali
    Asian-European Journal of Mathematics 19 (02), 2540012 , 2026
    2026.0
    Citations: 2
  • Spectral properties of multiplicative Lie algebras
    V Kumar, DK Singh, A Pandey, MS Pandey
    Communications in Algebra 53 (9), 3963-3973 , 2025
    2025.0
    Citations: 1
  • On the power graph of a certain gyrogroup
    Y Singh, AK Tiwari, F Ali, MS Pandey
    arXiv preprint arXiv:2208.00743 , 2022
    2022.0
    Citations: 1
  • A Note on -Generalized Skew Derivations on Prime Rings
    MS Pandey, A Pandey
    Workshop on Associative Rings and Algebras with Additional Structures, 87-101 , 2022
    2022.0
    Citations: 1
  • The Bogomolov multiplier of a multiplicative Lie algebra: A. Kumar et al.
    A Kumar, R Joshi, MS Pandey, SK Upadhyay
    Ricerche di Matematica 75 (2), 1083-1097 , 2026
    2026.0
  • Multiplicative Lie crossed module of multiplicative Lie algebras
    V Kumar, DK Singh, MS Pandey, R Katta
    Communications in Algebra 54 (2), 619-630 , 2026
    2026.0
  • Semi-cross product and extension theory of gyrogroups
    A Kumar, MS Pandey, S Kushwaha, SK Upadhyay
    Quasigroups and Related Systems, 37-56 , 2025
    2025.0
  • Isoclinism in multiplicative Lie algebras
    SK UPADHYAY, MS PANDEY
    Publicationes Mathematicae Debrecen 106 (1-2), 53-67 , 2025
    2025.0
  • A characterization of b-generalized skew derivations on a Lie ideal in a prime ring
    O Alshanqiti, A Pandey, MS Pandey
    AIMS MATHEMATICS 9 (12), 34184-34204 , 2024
    2024.0
  • A Construction of Bent Functions on a Finite Group
    MS Pandey, SK Upadhyay, V Kakkar
    National Academy Science Letters 43 (3), 247-251 , 2020
    2020.0
  • A Study of Multiplicative Lie Algebra and its Classification
    MS Pandey
    Allahabad , 0