Research

Последнее изменение: 12/11/2024 05:31:46

My research interest is in the algebraic theory of semigroups, in particular, on the interplay between categories and semigroups. One of my focus areas has been Nambooripad's cross-connection theory of regular semigroups.

ORCID ID: 0000-0001-9433-0622

Scopus Author ID: 57142541200

Researcher ID: W-8019-2018

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Publications

  1. (with J. East, R.D. Gray and N. Ruskuc) Projection algebras and free projection- and idempotent-generated regular *-semigroups, 2024. Preprint
  2. (with J. East, M. Fresacher and T. Stokes) Categorical representation of DRC-semigroups, 2024. Preprint
  3. (with J. East) A groupoid approach to regular ⁎-semigroups published in Advances in Mathematics, 2024. Preprint
  4. (with C.S. Preenu) Cross-connections in Clifford semigroups in Springer Proceedings in Mathematics and Statistics 436, Semigroups, Algebras and Operator Theory, 2024. Preprint
  5. (with M.V. Volkov and K. Auinger) The cross-connection structure of locally inverse semigroups published in International Journal of Algebra and Computation, 2023. Preprint
  6. (with M.V. Volkov) A Tale of Two Categories: Inductive groupoids and Cross-connections published in Journal of Pure and Applied Algebra, 2022. Preprint
  7. (with J.C. Meakin and A.R. Rajan) The mathematical work of K.S.S. Nambooripad published in Springer Proceedings in Mathematics and Statistics 345, Semigroups, Categories and Partial Algebras, 2021. Preprint
  8. (with K.S.S. Nambooripad and P.G. Romeo) Cross-connection structure of concordant semigroups published in International Journal of Algebra and Computation, 2020. Preprint
  9. (with M.V. Volkov) Cross-connections and inductive groupoids of regular semigroups published in Acta Mathematica Hungarica, 157(1):80-120, 2019. View paper Preprint
  10. Cross-connections of the linear transformation semigroups published in Semigroup Forum, 97(3), 2018. View paper Preprint
  11. (with A.R. Rajan) Cross-connections of the singular transformation semigroup published in Journal of Algebra and its Applications, 17(3), 2018. Preprint
  12. Cross-connections and variants of the full transformation semigroup published in Acta Scientiarum Mathematicarum (Szeged), 84(3-4), 2018. Preprint
  13. (with A.R. Rajan) Cross-connections of completely simple semigroups published in Asian European Journal of Mathematics, 9(3), 2016. Preprint
  14. Normal categories from completely simple semigroups published In: Rizvi S., Ali A., Filippis V. (eds) Algebra and its Applications. Springer Proceedings in Mathematics & Statistics, vol 174, 2016.
  15. (with A.R. Rajan) Normal category of partitions of a set published in Southeast Asian Bulletin of Mathematics, 41(5), 2017. Preprint
  16. (with A.R. Rajan) Normal categories from the transformation semigroup published in the Bulletin of the Allahabad Mathematical Society, 30(1), 2015.
  17. Cross-connections of rectangular bands published In: Proceedings of the International Conference on Semigroups, Algebras and Applications, CUSAT, India, 2016.

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