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  • Azeef Muhammed P. A., Ph.D.

  • Job Title :

    Assistant Professor

  • College :

    College of Sciences and Human Studies

  • Department :

    Core Program

Dr Azeef is an Indian National, working as an Assistant Professor in Mathematics at PMU, KSA. He received his B.Sc. (Honors) from Hindu College, University of Delhi in 2009, M.Sc. from University of Hyderabad in 2011 and Ph.D. from University of Kerala in 2016. He has held postdoctoral positions at Indian Institute of Science Education and Research, Thiruvananthapuram and Ural Federal University, Ekaterinburg (Russia), prior to joining PMU. Dr. Azeef has also served short periods as Assistant Professor at Lady Shri Ram College, Delhi and University College, Thiruvananthapuram.

His research interest has been in Algebra with strong focus on areas like Semigroup Theory, Category Theory, Rings etc. His major results have been in the structure theory of semigroups using small categories, namely Nambooripad’s cross‐connection theory. Dr Azeef has published research articles in reputed journals like Acta Math. Hungarica, J. Alg. Appl., IJAC, Semigroup Forum, etc. He also has several ongoing international collaborations with leading algebraists from Russia, Austria, UK, USA, Portugal etc.


  1. The Tale of Two Categories: Inductive groupoids and Cross-connections (with M.V. Volkov) - (submitted), arXiv:1901.05731.
  2. Cross-connection structure of locally inverse semigroups_ (with K. Auinger and M.V. Volkov) - (in preparation).
  3. Cross-connection structure of concordant semigroups (with K.S.S. Nambooripad and P.G. Romeo) published in International Journal of Algebra and Computation- ISSN 0218-1967, DOI:10.1142/S021819671950070X, 2019.
  4. Inductive groupoids and cross-connections of regular semigroups_ (with M.V. Volkov) published in Acta Mathematica Hungarica- ISSN 0236-5294, 157(1):80-120, DOI:10.1007/s10474-018-0888-6, 2019.
  5. Cross-connections of linear transformation semigroups published in Semigroup Forum- ISSN 0037-1912, 97(3):457-470, DOI:10.1007/s00233-018-9942-5, 2018.
  6. Cross-connections of the singular transformation semigroup (with A.R. Rajan) published in Journal of Algebra and its Applications- ISSN 0219-4988, 17(3), 1850047, DOI:10.1142/S0219498818500470, 2018.
  7. Cross-connections and variants of the full transformation semigroup_ published in Acta Scientiarum Mathematicarum (Szeged)- ISSN 0001-6969, 84(3-4):377-399, DOI:10.14232/actasm-017-044-z, 2018.
  8. Cross-connections of completely simple semigroups_ (with A.R. Rajan) published in Asian European Journal of Mathematics- ISSN 1793-5571, 9(3), 1650053, DOI:10.1142/S1793557116500534, 2016.
  9. Normal categories from completely simple semigroup_ published in the Springer Proceedings in Mathematics and Statistics 174, Algebra and Applications, AMU, Aligarh, India, ISBN 978-981-101650-9:387-396, 419130, DOI:10.1007/978-981-10-1651-6, 2016.
  10. Normal category of partitions of a set_ (with A.R. Rajan) published in Southeast Asian Bulletin of Mathematics- ISSN 0129-2021, 41(5):735-746, 2017.
  11. Cross-connections of rectangular bands_ published in the Proceedings of the International Conference on Semigroups, Algebras and Applications, CUSAT, Kerala, India, ISBN 978-93-80095-80-6:101-111, 2016.

Invited presentations

  1. A new structure theorem for locally inverse semigroups contributed talk at the International Conference SandGAL2019 held at Politecnico di Milano, Italy from 10-13 June, 2019.
  2. Structure of concordant semigroups contributed talk at the International Conference on Algebra and Mathematical Logic held at Kazan Federal University, Russia from 24-28 June, 2019.
  3. Inductive groupoid of a cross-connection: the abstract case contributed talk at the International Conference on Semigroups held at University of Lisbon, Portugal from 11-14 July, 2018.
  4. Cross-connection of the inductive groupoid of a regular semigroup invited talk at 27th NBSAN meeting held at University of York, United Kingdom during 7-8 January, 2018.
  5. Cross-connections of completely 0-simple semigroups contributed talk at the International conference on Groups, graphs, metrics and manifolds (G2M2) organized by Krasovskii Institute of Mathematics and Mechanics and Ural Federal University, Ekaterinburg, Russia during 22-30 July, 2017.
  6. Cross-connections and variants of the full transformation semigroup_ contributed talk at the 94th Workshop on General Algebra (AAA94) and the 5th Novi Sad Algebraic Conference (NSAC 2017) held at University of Novi Sad, Serbia from 15-18 June, 2017.
  7. Cross-connection structure of some regular semigroups invited talk at Bolyai Institute, University of Szeged, Hungary on 13 June, 2017.
  8. Cross-connections of linear transformation semigroups contributed talk at the Conference on Semigroups and Automata held at University of Lisbon, Portugal from 20-24 June, 2016.
  9. A representation of completely simple semigroups presented at the International Conference on Semigroups and Operator Algebras held at CUSAT, Cochin from 17-19 September, 2015.
  10. Duality between the normal categories of subsets and partitions of a set presented at the International Conference on Algebra and its Applications held at Aligarh Muslim University, Aligarh from 15-17 December, 2014.

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ORCID ID: 0000-0001-9433-0622
Scopus Author ID: 57142541200
Researcher ID: W-8019-2018
arXiv: http://arxiv.org/a/muhammed_a_1
ResearchGate: https://researchgate.net/pro_le/Azeef_Muhammed

Mathematics (Algebra: Semigroups, Category theory, Rings, Automata)