RB Yadav

@cus.ac.in

Guest Faculty, Department of Mathematics
Sikkim University

RB Yadav


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https://researchid.co/rbyadav

RESEARCH INTERESTS

Topology, Algebraic Deformation Theory
7

Scopus Publications

55

Scholar Citations

4

Scholar h-index

2

Scholar i10-index

Scopus Publications

  • Equivariant one-parameter deformations of associative algebra morphisms
    Raj Bhawan Yadav
    Czechoslovak Mathematical Journal, 2023
    In this article, we introduce equivariant formal deformation theory of associative algebra morphisms. We introduce an equivariant deformation cohomology of associative algebra morphisms and using this we study the equivariant formal deformation theory of associative algebra morphisms.
  • Cohomology and deformation of an associative superalgebra
    Raj Bhawan Yadav and
    Algebra and Discrete Mathematics, 2023
    In this paper we generalize to associative superalgebras Gerstenhaber's work on cohomology structure of an associative algebra. We introduce formal deformation theory of associative superalgebras.
  • CONFORMAL RIEMANNIAN MORPHISMS BETWEEN RIEMANNIAN MANIFOLDS
    R. B. Yadav, Srikanth V. Kuppum
    Journal of the Indian Mathematical Society, 2022
    In this article we introduce conformal Riemannian morphisms. The idea of conformal Riemannian morphism generalizes the notions of isometric immersions, Riemannian submersions, Riemannian maps and conformal Riemannian maps.
  • Equivariant one-parameter deformations of Lie triple systems
    R.B. Yadav, Namita Behera, Rinkila Bhutia
    Journal of Algebra, 2021
  • Equivariant one-parameter deformations of associative algebras
    Goutam Mukherjee, Raj Bhawan Yadav
    Journal of Algebra and Its Applications, 2020
    We introduce an equivariant version of Hochschild cohomology as the deformation cohomology to study equivariant deformations of associative algebras equipped with finite group actions.
  • On some categories of riemannian manifolds
    R. B. Yadav
    Journal of the Indian Mathematical Society, 2019
    In this article we introduce two categories of Riemannian manifolds. We also study some properties of such categories and compare them with the previously known categories.
  • On an extension of the Stone-Weierstrass theorem
    Mathematical Communications, 2014

RECENT SCHOLAR PUBLICATIONS

  • Arithmetical Structures on Ladder Graphs
    N Behera, DR Chhetri, RB Yadav
    arXiv preprint arXiv:2604.25671 , 2026
    2026
  • Characterization and Cohomology of Crossed Homomorphisms on Lie Superalgebras
    RB Yadav, A Sharma
    arXiv preprint arXiv:2503.19918 , 2025
    2025
  • Arithmetical Structures On Fan Graphs
    DR Chhetri, N Behera, RB Yadav
    arXiv preprint arXiv:2503.01913 , 2025
    2025
    Citations: 1
  • Arithmetical Structures on Wheel Graphs
    B Adhikari, N Behera, DR Chhetri, RB Yadav
    arXiv preprint arXiv:2412.07816 , 2024
    2024
    Citations: 2
  • Equivariant one-parameter deformations of associative algebra morphisms
    RB Yadav
    Czechoslovak Mathematical Journal 73 (3), 675-694 , 2023
    2023
  • Cohomology and deformation of compatible Hom-Leibniz algebras
    R Bhutia, RB Yadav, N Behera
    arXiv preprint arXiv:2308.02411 , 2023
    2023
    Citations: 4
  • Cohomology and deformations of compatible Leibniz algebras
    RB Yadav, R Bhutia, N Behera
    arXiv preprint arXiv:2306.06105 , 2023
    2023
    Citations: 4
  • Cohomology and deformations of associative superalgebras
    RB Yadav
    Algebra and Discrete Mathematics , 2023
    2023
    Citations: 2
  • Maurer-Cartan characterization, cohomology and deformations of equivariant Lie superalgebras
    RB Yadav, S Mukhopadhyay
    arXiv preprint arXiv:2301.01270 , 2022
    2022
  • Equivariant cohomology, deformations and central extension of Hom Lie triple systems
    R Bhutia, RB Yadav, N Behera
    arXiv preprint arXiv:2203.07409 , 2022
    2022
    Citations: 1
  • Conformal Riemannian morphisms between Riemannian manifolds
    RB Yadav, S KV
    Journal of the Indian Mathematical Society , 2022
    2022
  • Cohomology and deformation of Leibniz superalgebras
    RB Yadav
    arXiv preprint arXiv:2101.07652 , 2021
    2021
    Citations: 1
  • Equivariant one-parameter deformations of Lie triple systems
    RB Yadav, N Behera, R Bhutia
    Journal of Algebra , 2020
    2020
    Citations: 21
  • Cohomology and Deformations of n-Hom-Liebniz algebra morphisms
    RB Yadav
    arXiv preprint arXiv:1911.11595 , 2019
    2019
  • On some categories of Riemannian Manifolds
    RB Yadav
    Journal of The Indian Mathematical Society , 2019
    2019
  • Cohomology and deformations of module homorphisms
    RB Yadav, L Chen, Y Ma, Y Hou
    arXiv preprint arXiv:1811.02431 , 2018
    2018
    Citations: 1
  • On study of a metric on C (S^ 1; S^ 1)
    RB Yadav, S KV
    arXiv preprint arXiv:1810.02686 , 2018
    2018
  • Equivariant one-parameter deformations of associative algebras
    G Mukherjee, RB Yadav
    Journal of algebra and its applications , 2018
    2018
    Citations: 15
  • Formal one-parameter deformations of module homorphisms
    RB Yadav
    arXiv 2018 , 2018
    2018
  • On an extension of the Stone-Weierstrass theorem
    KV Srikanth, R Bhawan Yadav
    Mathematical Communications 19 (2), 391-396 , 2014
    2014
    Citations: 2

MOST CITED SCHOLAR PUBLICATIONS

  • Equivariant one-parameter deformations of Lie triple systems
    RB Yadav, N Behera, R Bhutia
    Journal of Algebra , 2020
    2020
    Citations: 21
  • Equivariant one-parameter deformations of associative algebras
    G Mukherjee, RB Yadav
    Journal of algebra and its applications , 2018
    2018
    Citations: 15
  • Cohomology and deformation of compatible Hom-Leibniz algebras
    R Bhutia, RB Yadav, N Behera
    arXiv preprint arXiv:2308.02411 , 2023
    2023
    Citations: 4
  • Cohomology and deformations of compatible Leibniz algebras
    RB Yadav, R Bhutia, N Behera
    arXiv preprint arXiv:2306.06105 , 2023
    2023
    Citations: 4
  • Arithmetical Structures on Wheel Graphs
    B Adhikari, N Behera, DR Chhetri, RB Yadav
    arXiv preprint arXiv:2412.07816 , 2024
    2024
    Citations: 2
  • Cohomology and deformations of associative superalgebras
    RB Yadav
    Algebra and Discrete Mathematics , 2023
    2023
    Citations: 2
  • On an extension of the Stone-Weierstrass theorem
    KV Srikanth, R Bhawan Yadav
    Mathematical Communications 19 (2), 391-396 , 2014
    2014
    Citations: 2
  • Arithmetical Structures On Fan Graphs
    DR Chhetri, N Behera, RB Yadav
    arXiv preprint arXiv:2503.01913 , 2025
    2025
    Citations: 1
  • Equivariant cohomology, deformations and central extension of Hom Lie triple systems
    R Bhutia, RB Yadav, N Behera
    arXiv preprint arXiv:2203.07409 , 2022
    2022
    Citations: 1
  • Cohomology and deformation of Leibniz superalgebras
    RB Yadav
    arXiv preprint arXiv:2101.07652 , 2021
    2021
    Citations: 1
  • Cohomology and deformations of module homorphisms
    RB Yadav, L Chen, Y Ma, Y Hou
    arXiv preprint arXiv:1811.02431 , 2018
    2018
    Citations: 1
  • Decomposition of invertible and conformal transformations
    KV Srikanth, RB Yadav
    arXiv preprint arXiv:1309.5805 , 2013
    2013
    Citations: 1
  • Arithmetical Structures on Ladder Graphs
    N Behera, DR Chhetri, RB Yadav
    arXiv preprint arXiv:2604.25671 , 2026
    2026
  • Characterization and Cohomology of Crossed Homomorphisms on Lie Superalgebras
    RB Yadav, A Sharma
    arXiv preprint arXiv:2503.19918 , 2025
    2025
  • Equivariant one-parameter deformations of associative algebra morphisms
    RB Yadav
    Czechoslovak Mathematical Journal 73 (3), 675-694 , 2023
    2023
  • Maurer-Cartan characterization, cohomology and deformations of equivariant Lie superalgebras
    RB Yadav, S Mukhopadhyay
    arXiv preprint arXiv:2301.01270 , 2022
    2022
  • Conformal Riemannian morphisms between Riemannian manifolds
    RB Yadav, S KV
    Journal of the Indian Mathematical Society , 2022
    2022
  • Cohomology and Deformations of n-Hom-Liebniz algebra morphisms
    RB Yadav
    arXiv preprint arXiv:1911.11595 , 2019
    2019
  • On some categories of Riemannian Manifolds
    RB Yadav
    Journal of The Indian Mathematical Society , 2019
    2019
  • On study of a metric on C (S^ 1; S^ 1)
    RB Yadav, S KV
    arXiv preprint arXiv:1810.02686 , 2018
    2018

Publications

Publications:
1. R.B. Yadav, Equivariant one-parameter deformations of associative algebra morphisms,
Czechoslovak Mathematical Journal, 2022 (accepted).
2. R. B. Yadav, Srikanth K. V., On conformal Riemannian morphisms between Riemannian
manifolds, "Journal of Indian Mathematical Society", No. (3-4),
2022, 431-445.
3. R. B. Yadav, Namita Behera, Rinkila Bhutia, Equivariant one-parameter deformations
of Lie triple systems, Journal of algebra , Volume 568, 15 February 2021, Pages
467-479 ,
4. Goutam Mukherjee, Raj Bhawan Yadav, Equivariant one-parameter deformations of
associative algebras,Journal of Algebra and its applications, Vol. 19, No. 6 (2020)
2050114 (18 pages), .
5. R. B. Yadav, On some categories of Riemannian manifolds, "Journal of Indian
Mathematical Society", Vol. 86, , January 2019, 199-210.
6. Srikanth K. V., Raj Bhawan Yadav, On an extension of the Stone-Weierstrass
Theorem, "Mathematical Communications", Vol. 19 No. 2 December 2014.