Research Publications

In International Referred Journals

  1. Ideal Lattices in Semigroup of Doubly Stochastic Matrices, P. G Romeo and Riya Jose, Discrete Mathematics Algorithms and Applications, DOI : 10.1142/S1793830924500290 , March 2024.
  2. Normal categories arising from the semigroup OXn, K K Sneha and P G Romeo, Palestine Journal of Mathematics, 2023
  3. Ideal categories of the normed algebra of finite rank bounded operators on a Hilbert space, P G . Romeo, A . Anju, Asian- European Journal of Mathematics, 2024, World Scientific Publishing company, DOI: //doi.org/10.1142/S1793557124500347.
  4. Lattice representation of completely 0-simple semigroups, Alanka Thomas and P. G. Romeo, Palestine Journal of Mathematics, Vol. 12(4) (2023), 197-203.
  5. Representations of right zero semigroups, P G Romeo and K K Sneha, Southeast Asian Bulletin of Mathematics, 2022.
  6. Ordered matrix semigroups, P H Sathi and P.G.Romeo, J. Semigroup Theory and Appl. 2023, http://doi.org/10.28919/jsta/8046, ISSN:2051-2037
  7. On the semisimplicity of twisted group rings ans generalized Maschke’s theorem, Alanka Thomas and P G Romeo, Asian- European Journal of Mathematics, 2023, DOI: 10.1142/S1793557123502200 .
  8. On representations of Plesken Lie algebrasS. S. N. Arjun and P. G. Romeo, Asian-European Journal of Mathematics(2023) 2350085 (13 pages)© World Scientific Publishing Company, DOI: 10.1142/S1793557123500857
  9. Chain bundles and category of chains, P G Romeo and Riya Jose, Moroccan Journal of Algebra and Geometry with Applications, Vol. 1(1), 2022, 1-12.
  10. On the semisimplicity of twisted group rings ans generalized Maschke’s theorem, Alanka Thomas and P G Romeo, Asian- European Journal of Mathematics, 2023, World Scientific Publishing company, DOI: 10.1142/S1793557123502200 .
  11. Generalized module groupoids, P. G. Romeo and K K Sneha, Moroccan Journal of Algebra and Geometry with Applications, Vol. 1(1), (2022), 76-85.
  12. Rees matrix semigroup over a Г – semigroup, Smisha M.A and P.G.Romeo, Bulletin of Calcutta Mathematical Soc., 114, (20 115-124 (2022).
  13. On the embedding of Г – semigroup Amalgam using partial Г – groupoid, Smisha M.A and P.G.Romeo, Advances in Algebra (AA), ISSN 0973-6964 Vol. 14, No.1 (2021), PP 3-13.
  14. Graph inverse semigroups, P G Romeo and Alanka Thomas, Bulletin of Calcutta Mathematical Soc., 113, (2) 81-96 (2021).
  15. On the embedding of Г – semigroup Amalgam, M.A.Smisha and P.G.Romeo, Malaya Journal of Matematik, Vol.9, No.1, 449-455, 2021, http:\\doi.org/10.26637/MJM0901/0075
  16. Cluster algebras and quivers, Sneha K.K and P.G.Romeo, Bulletin of Calcutta Mathematical Soc., (6) 569-576 (2020).
  17. Translations in semirings and semirings of translations, Siji Michhale and P G Romeo, Malaya Juornal of Matematik, Vol.B, No.2, 527-530, 2020, DOI: 10.26637MJM0802.
  18. Groupoids and involution Rings, P G Romeo and K.K.Sneha, Asian Journal of Algebra ISSN 1994-540X, DOI: 1.3923/aja.2020.1.5.
  19. Cross-connection Structure of Concordant Semigroups., P.A. Azeef Mohammed, P.G. Romeo and K.S.S. Nambooripad, International Journal of Algebra and Computation, World Scientific, Vol 30, No1, pp.181-216 (2020) ( doi.org/10.1142/S021819671950070X).
  20. On the lattice of biorder ideals of regular rings., R. Akhila and P.G. Romeo, Asian-European Journal of Mathematics, World Scientific, Vol 11, February 2019 (doi.org/10.1142/S179355712050103X).
  21. Ring of rectangular matrices under sandwich operation., P G Romeo, International journal of scientific and technical research, Issue 9, Vol.3, ISSN 2249-9954, 2019.
  22. On cardinality of centrilizers in full transformation semigroups, Lejo J Manavalan and P G Romeo, IJRAR (2019) Vol 6, Issue 2, ISSN 2051-2937.
  23. On matrix semigroups and matrix semigroup amalgams, Smisha M A and P G Romeo, IJAR (2019) Vol 6, Issue 2, ISSN 2349-5158.
  24. On generating senigroups from functions, Lejo J Manavalan and P G Romeo, Adv. Inequal. Appl. (2019), ISSN 2050-7461.
  25. On the category of R-modules over non commutative rings., P G Romeo and P.R. Sreejamole, Bulletin of Kerala Mathematical Association, Vol .15, June 2018.
  26. Additive Biordered Set Derived from a Ring., P G Romeo and R. Akhila, Southeast Asian Bulletin of Mathematics, (2018) 42 : 111-116.
  27. On some semigroups generated from Cayley functions., Lejo J Manavalan and P G Romeo, Journal of Semigroup theory, (2018), http://doi.org/10.28919/jsta/3562.
  28. Green's Relations and Translations in Rings., P G Romeo and Sreejamole P R, MAT Journals, Journal of Statistics and Mathematical Engineering, Volume 3, Issue 3, ,2017, Page 1-10.11. Cross-connection of Boolean Lattice., P G Romeo and Sreejamole P R, International Journal of Algebra, Vol 11, 2017, no.4, 171-179.
  29. On the Category of Ideals of Ring., P G Romeo and Srejamole P R, Journal of Mathematics and System Science 7(2017) 94-99.
  30. On Biordered Set of Rings; P G Romeo and R. Akhila, Malaya Bulletin of Mathematik, Vol.4, Issue 3, 2016, 463-467.
  31. Natural Partial Order on Some Class of Semigroups; P G Romeo and M.S.Jisha, International Journal of Algebra, Vol. 8 (2014) No.10, 479-484.
  32. On Category of S – Sets, P G Romeo, Journal of Algebra and Discrete Structures, Vol.9 (2011) No pp. 19-29.
  33. Coextensions of Abundant Semigroups, P G Romeo, The Southeast Asian Bulletin of Mathematics, (2011), 35, 1-5.
  34. Fundamental Representation of Weakly Adequate Semigroups, P G Romeo, Advances in Algebra, Vol 4, No.1 (2011) pp 1 - 8.
  35. Concordant categories and semigroups, P G Romeo, Advances in Algebra, Vol 3, No 1, (2010) pp 63-77.
  36. Fundamental Weakly abundant semigroups, P G Romeo, Journal of Algebra and Discrete Structures, Vol.7 (2009), No1, pp. 43-51.
  37. Concordant Semigroups and Balanced Categories, P G Romeo, The Southeast Asian Bulletin of Mathematics, (2007) 31; 949 – 961.
  38. Universal Regular Semigroup of a Concordant Semigroup, P G Romeo, Bull. Caicutta Math. Soc.88, 7-36 (1996).
  39. Cluster algebras and quivers, Sneha K.K and P.G.Romeo, Bull. Cal. Math. Soc., (6) 569-576 (2020)