Prof. Parackal G. Romeo
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Prof. Parackal G. Romeo

CSIR Emeritus Scientist
Department of Mathematics, Cochin University of Science and Technology, Kochi, India

Highest Degree
Ph.D. in Mathematics from University of Kerala, India

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Biography

P. G. Romeo is Professor and Head of the Department of Mathematics at Cochin University of Science and Technology (CUSAT), Kochi, Kerala, India. He earned his Ph.D. in Mathematics from the University of Kerala, India, in 1993, under the guid6 ance of Prof. K. S. S. Nambooripad. His major research interests include semigroup theory, representation theory of groups and algebras, universal algebras, and category theory. During his illustrious career as a researcher and professor for three decades, Prof. Romeo taught a wide variety of courses ranging from freshman-level calculus to advanced graduate courses in algebra, representation theory, and topology. He guides students for doctoral research and has been publishing extensively in peer-reviewed international mathematical journals. He has also given invited lectures at various international and national conferences and is a member of the Indian Mathematical Society and the Executive Trustee to the Mathematics and Statistics Science Trust, Kerala.

Area of Interest:

Mathematics
100%
Algebraic Topology
62%
Operator Theory
90%
Semigroup Forum
75%
Linear Algebra
55%

Research Publications in Numbers

Books
1
Chapters
4
Articles
32
Abstracts
25

Selected Publications

  1. Mohammed, P.A.A., P.G. Romeo and K.S.S. Nambooripad, 2020. Cross-connection structure of concordant semigroups. Int. J. Algebra Comput., World Scient., 30: 181-216.
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  2. Romeo, P.G., 2019. Ring of rectangular matrices under sandwich operation. Int. J. Scient. Tech. Res., 3: 46-50.
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  3. Muhammed, P.A.A., P.G. Romeo and K.S.S. Nambooripad, 2019. Cross-connection structure of concordant semigroups. Int. J. Algebra Comput., 30: 181-216.
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  4. Manavalan, L.J. and P.G. Romeo, 2019. On generating semigroups from a function. Adv. Inequal. Applic., Vol. 2019. 10.28919/aia/3960.
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  5. Akhila, R. and P.G. Romeo, 2019. On the lattice of biorder ideals of regular rings. Asian-Eur. J. Math., Vol. 11. 10.1142/S179355712050103X.
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  6. Akhila, R. and P.G. Romeo, 2019. On the lattice of biorder ideals of regular rings. Asian-Eur. J. Math., 10.1142/s179355712050103x.
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  7. Romeo, P.G. and R. Akhila, 2018. Additive biordered set derived from a ring. Southeast Asian Bull. Math., 42: 111-116.
  8. Manavalan, L.J. and P.G. Romeo, 2018. On some semigroups generated from cayley functions. J. Semigroup Theory Appl., 10.28919/jsta/3562.
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  9. Manavalan, L.J. and P.G. Romeo, 2018. On some semigroups generated from Cayley functions. J. Semigroup Theory Applic., 10.28919/jsta/3562.
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  10. Romeo, P.G. and P.R. Srejamole, 2017. On the category of ideals of ring. J. Math. Syst. Sci., 7: 94-99.
  11. Romeo, P.G. and P.R. Sreejamole, 2017. Cross-connection of boolean lattice. Int. J. Algebra, 11: 171-179.
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  12. Romeo, P.G. and P.R. Sreejamol, 2017. Green's relations and translations in ring. J. Stat. Math. Eng., 3: 1-10.
  13. Romeo, P.G. and R. Akhila, 2016. On biordered set of rings. Malaya Bull. Mathematik, 4: 463-467.
  14. Romeo, P.G. and R. Akhila, 2014. Rees matrix semirings. Adv. Algebra, 7: 13-19.
  15. Romeo, P.G. and M.S. Jisha, 2014. Natural Partial Order on Some Class of Semigroups. Int. J. Algebra, 8: 479-484.
    CrossRef  |  
  16. Romeo, P.G., 2011. On category of S-sets. J. Algebra Discrete Struct., 9: 19-29.
  17. Romeo, P.G., 2011. Fundamental Representation of Weakly Adequate Semigroups. Adv. Algebra, 4: 1-8.
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  18. Romeo, P.G., 2011. Coextensions of abundant semigroups. Southeast Asian Bull. Math., 35: 1009-1014.
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  19. Romeo, P.G., 2010. Structure of Concordant Semigroups-II; Cross-connections. Academic Publishing, Germany.
  20. Romeo, P.G., 2010. Concordant categories and semigroups. Adv. Algebra, 3: 63-77.
  21. Romeo, P.G., 2009. Fundamental Weakly abundant semigroups. J. Algebra Discrete Struct., 7: 43-51.
  22. Romeo, P.G., 2007. Concordant Semigroups and Balanced Categories. Southeast Asian Bull. Math., 31: 949-961.
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  23. Romeo, P.G., 1996. Universal regular Semigroup of a concordant semigroup. Bull. Calc. Math. Soc., 88: 17-36.