Research

Publications/Preprints:

24. (with I. Basdouri, E. Peyghan, M.A. Sadraoui ) FORMAL DEFORMATIONS AND EXTENSIONS OF ‘TWISTED’ LIE ALGEBRAS (2024), Preprint, arXiv:2406.13422.

23.  (with I. Basdouri, S. Benabdelhafidh, M.A.  Sadraoui) A cohomological study of modified Rota-Baxter associative algebras with derivations (2024),  arXiv:2404.00627.

22. (with S. Guo, B. Mondal) On Nijenhuis Lie triple systems (2024),  arXiv:2403.06121. 

21. (with T. Chtioui) On deformation cohomology of compatible Hom-associative algebras (2022), arXiv:2210.12501.

20. (with S. Guo) Rota-Baxter operators and related structures on anti-flexible algebras (2021), arXiv:2108.01333.

19. (with B. Mondal) Deformation cohomology of morphisms of Lie-Yamaguti algebras (2024), to appear, Journal of Algebra, https://doi.org/10.1016/j.jalgebra.2024.06.008. 

18. (with B. Mondal) Cohomology of modified Rota-Baxter Leibniz algebra of weight $\lambda$ (2024),  arXiv:2211.07944, to appear, Journal of Algebra and Its Applications.

17. (with B. Mondal) Nijenhuis operators on Leibniz algebras (2024), Journal of Geometry and Physics, Volume 196, February 2024, 105057.

16. (with Abdenacer Makhlouf) On Compatible Leibniz algebras (2024), to appear, Journal of Algebra and Its Applications, https://doi.org/10.1142/S0219498825501051. 

15. (with S. Guo) On \alpha-type (equivariant) cohomology of Hom-pre-Lie algebras (2024), Communications in Algebra, 52:2, 479-499,  DOI: 10.1080/00927872.2023.2243514.

14. (With  Liangyun Chen, Tianqi Feng, Yao Ma, Hongyi Zhang) On Hom-Groups and Hom-Group actions (2023), Acta Mathematica Sinica, English Series, Vol. 39, No. 10, pp. 1887–1906.

13. (with S. Guo, B. Mondal) On equivariant Lie-Yamaguti algebras and related structures (2023), Asian-European Journal of Mathematics, Vol. 16, No. 02, 2350022 (2023).

12. (with B. Mondal)  Cohomology, deformations and extensions of Rota-Baxter Leibniz algebras (2022), Communications in Mathematics, Volume 30 (2022), Issue 2 (Special Issue : CIMPA School  "Non-associative algebras and Its Applications", Madagascar 2021).  

11.  (with S. Guo) On 3-Lie algebras with  a derivation (2022),  Afrika Mathematika, 33, 60 (2022). https://doi.org/10.1007/s13370-022-00998-7.

10. (With Goutam Mukherjee) Equivariant one-parameter formal deformations of Hom-Leibniz algebras (2022),  Communications in Contemporary Mathematics, Vol. 24, No. 03, 2050082 (2022), https://doi.org/10.1142/S0219199720500820.

9. On equivariant Hom-Leibniz cohomology, (2021),  Afrika Mathematika,  32(7), 1685-1696, https://doi.org/10.1007/s13370-021-00928-z .

8. (with David A. Towers) On certain classes of algebras in which centralizers are ideals (2021),  Journal of Lie Theory, 31 (2021), No. 4, 991--1002.

7. (with Apurba Das) Involutive and oriented dendriform algebras (2021),  Journal of Algebra, Volume 581, 1 September 2021, Pages 63-91. https://doi.org/10.1016/j.jalgebra.2021.04.012.

6. (With Apurba Das) On equivariant dendriform algebras,  Colloquium Mathematicum 164 (2021), 283-303.

5. (With Pratulananda Das) On Leibniz algebras whose centralizers are ideals (2020), Indian J Pure Appl Math 51, 1555–1571 (2020). https://doi.org/10.1007/s13226-020-0481-x.

4. (With Ali N.A. Koam) Cohomology and deformations of oriented dialgebras (2020), Journal of Homotopy and Related Structures, 15, 511–536 (2020), https://doi.org/10.1007/s40062-020-00265-1. 

3. Cup-product in Hom-Leibniz cohomology and Hom-Zinbiel algebras (2020), Communications in Algebra, 48:10, 4224-4234, DOI: 10.1080/00927872.2020.1759613.

2. Equivariant associative dialgebras and its one-parameter formal deformations (2019), Journal of Geometry and Physics, Volume 146, December 2019, 103491.

1. (with Goutam Mukherjee) Cup-product for equivariant Leibniz cohomology and Zinbiel algebras (2019), Algebra Colloquium, Vol. 26, No. 2, 2019, 271-284.

Articles in Preparation:

15. (with A. Das) Relative Rota-Baxter operators on dialgebras (2021).

16. Cohomology and deformations of Leibniz algebras relative to a semigroup (2021).