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Faculty Member Details

Staff Id : 04428
Name : Dr. D. SIVAKUMAR
Designation : PROFESSOR & HEAD
Department : MATHEMATICS
Qualification : M.Sc.,M.Phil.,Ph.D.,
Specialization : ALGEBRA
Date of Birth : 29-05-1965
Date of Joining : 13-12-1999

Present Address Contact Number E-Mail Address
380/207,II CROSS
MUTHIAH NAGAR EAST,ANNAMALAI NAGAR
pin - 608002		8122110643sivakumar_aumaths@yahoo.com

Research Guidance
Discipline Awarded Guidance
M.Phil./M.E./M.Sc. 24-
Ph.D. 46


Conference /Seminar / Symposia / Workshop
Conference Seminar Symposia Workshop
National International
Attended -----
Conducted -----


Research Projects
Major Projects Minor Projects Total Amount (Rs.)
Completed ---
Ongoing ---

Teaching and Research Experience Industry Experience
24 Years -

Journals Conference Books Published Popular Article
National International National International
18 21 7 2 - -

List of Publications - National
G. N. Sudharshana, D.sivakumar, "Characterizations of unique maximal submodule and strong m-system.", J.Math. Comput. Sci., Volume 11, Number 3, 2021, pp. 1927-5307. 2021.
J. Marynirmala, D. Sivakumar, "Rough ideals in rough near-ring.", Advances in mathematics: Scientific Journal, Volume 9, Number 4, 2020, pp. 2345-2352. 2020.
R. Padma Priya, D. Sivakumar , S. AnjalMose, "Algebraic operations of T-fuzzy ideals in ternary gamma semiring.", journal Xi'an university of Architecture and technology, Volume 12, Number 11, 2020, pp. 508-511. 2020.
D.Sivakumar, G. N. Sudharshana, "On Von Neumann Regular modules.", Advances in mathematics: Scientific Journal, Volume 9, Number 4, 2020, pp. 1921-1931. 2020.
D.Sivakumar, R. Ramesh, "Properties of B*-homeomorphisms in topological spaces.", General mathematics, Volume 26, Number 1, 2015, pp. 1-7. 2015.
D.Sivakumar, R. Ramesh, "On B*-connectedness and B*-disconnectedness and their applications.", journal of advanced research in scientific computing, Volume 7, Number 1, 2015, pp. 10-18. 2015.
D.Sivakumar, R. Ramesh, "B*-compactness and other related concepts in topological spaces.", journal of advanced research in scientific computing, Volume 7, Number 1, 2015, pp. 1-9. 2015.
D. Sivakumar, O. Uma Maheshwari, "(T1, T2)*-regular generalized a-closed sets in bitopological spaces.", journal of advanced research in applied mathematics , Volume 6, Number 2, 2014, pp. 50-57. 2014.
D. Sivakumar, O. Uma Maheshwari, "(T1, T2)*-regular generalized a-closed sets in bitopological spaces.", Advances in Applied Mathematical Analysis, Volume 8, Number 2, 2013, pp. 91-100. 2013.
D.Sivakumar, K. Devi and A. Vadivel, "fuzzy generalized pre regular continous mapping in fuzzy topological spaces.", Journal of advanced studies in topology, Volume 4, Number 1, 2013, pp. 22-31. 2013.
D.Sivakumar, K. Devi, "On fuzzy supra alphaC-compactness in fuzzy topological spaces.", Journal of advanced studies in topology, Volume 4, Number 4, 2013, pp. 9-17. 2013.
D.Sivakumar, K. Devi, "Fuzzy generalized pre regular continous mapping in fuzzy topological spaces.", Journal of advanced studies in topology, Volume 4, Number 1, 2013, pp. 22-31. 2013.
D.Sivakumar, V.Saravanan, "A Study on Intuitionistic Fuzzy subsemiring of a semiring.", Elixir Applied Mathematics, Volume 46, Number 1, 2012, pp. 8552-8556. 2012.
D.Sivakumar, V.Saravanan, "Lower level subsets of Anti-fuzzy subsemiring of a semiring.", Paripex Indian journal of Research, Volume 1, Number 1, 2012, pp. 80-81. 2012.
A.Mohamed Ali and D.Sivakumar, "Some properties of L- fuzzy subnear rings of a near ring.", Research methods in mathematical sciences, Volume 9, Number 2, 2012, pp. 41-48. 2012.
D.Sivakumar and X.Arul Selvaraj, "(lamda,mu) - fuzzy ideals of strongly reguler near rings and (lamda,mu) - fuzzy quotient near rings.", annamalai university sciences journal, Volume 47, Number 1, 2011, pp. 214-219. 2011.
D.Sivakumar , X.Arul Selvaraj and P.Dheena, "t-norm (lamta,mu)-fuzzy ideals of strongly reguler near rings .", annamalai university sciences journal, Volume 46, Number 1, 2010, pp. 123-126. 2010.
D.Sivakumar, P.Dheena, "BL- Regular near-rings.", Journal of Indian Mathematical society, Volume 73, Number 1, 2006, pp. 77-85. 2006.
List of Publications - International
D.Sivakumar, R. Ramesh, "B*-regular and B*-normal spaces.", Int. J. of Pure and Eng. Mathematics, Volume 2, Number 3, 2014, pp. 71-80. 2014.
D.Sivakumar , B.Anitha and V.Saravanan, "homomorphism and anti-homomorphism of intuitionistic ( lamda, mu)-fuzzy subring of a ring.", American journal of mathematical sciences and applications, Volume 2, Number 2, 2014, pp. 131-136. 2014.
D. Sivakumar, O. Uma Maheshwari, "Strongly alpha g*-locally closed sets in bitopological spaces.", Antarctica J. Math, Volume 10, Number 1, 2013, pp. 1-9. 2013.
D.Sivakumar , B.Anitha, "t-norm (lamta,mu)-fuzzy left h - ideals of hemirings.", international journal of fuzzy mathematics and systems, Volume 3, Number 3, 2013, pp. 203-213. 2013.
D.Sivakumar , B.Anitha, "on (lamda, mu) - anti fuzzy subrings,.", international journal of computer applications, Volume 75, Number 8, 2013, pp. 45-47. 2013.
D.Sivakumar, M. Vasu, "Lower level subsets of Anti L-Fuzzy Subfield of a field.", international journal of Engineering Research & Technology, Volume 2, Number 9, 2013, pp. 203-219. 2013.
D.Sivakumar , M.Vasu and K.Arjunan, "intuitionistic L- fuzzy subfields of a field.", international journal of applied mathematics and modeling, Volume 1, Number 1, 2013, pp. 1-4. 2013.
D.Sivakumar, K. Devi and A. Vadivel, "Fuzzy generalized pre regular closed set in Fuzzy topological spaces.", Antarctica J. Math, Volume 9, Number 6, 2012, pp. 525-535. 2012.
D.Sivakumar, K. Devi, "Stronger forms of fuzzy generalized pre regular continous functions in fuzzy topological spaces.", international journal of fuzzy mathematics and systems, Volume 2, Number 4, 2012, pp. 497-506. 2012.
D.Sivakumar, K. Devi, "fuzzy generalized pre regular closed set in fuzzy topological spaces.", Antarctica J. Math, Volume 9, Number 6, 2012, pp. 525-535. 2012.
D.Sivakumar, V.Saravanan, "Properties of Intuitionistic Fuzzy Normal subsemiring of a semiring.", international journal of algebra, Volume 6, Number 27, 2012, pp. 1309-1318. 2012.
D.Sivakumar, V.Saravanan, "Homomorphism in Intuitionistic Fuzzy subsemiring of a semiring.", international journal of Contemporary Mathematical sciences, Volume 7, Number 41, 2012, pp. 2027-2033. 2012.
D.Sivakumar, V.Saravanan, "A study on Anti-Fuzzy Normal subsemiring of a semiring.", international mathematical forum , Volume 7, Number 53, 2012, pp. 2623-2631. 2012.
D.Sivakumar, M. Vasu, "Notes on Anti L-Fuzzy Subfield of a Field.", international journal of algebra, Volume 6, Number 30, 2012, pp. 1475-1481. 2012.
D.Sivakumar, V,Saravanan, "A study on Anti-fuzzy subsemiring of s semiring.", international journal of computer applications, Volume 35, Number 5, 2011, pp. 44-47. 2011.
D.Sivakumar , B.Anitha, "t-norm (lamda,mu)-fuzzy subrings and t-norm (lamda,mu)-fuzzy ideals.", international journal of algebra, Volume 5, Number 22, 2011, pp. 1065-1072. 2011.
D.Sivakumar , X.Arul Selvaraj and B.Anitha, " on direct product of (lamda,mu) fuzzy subrings .", international mathematical forum , Volume 6, Number 41, 2011, pp. 2037-2044. 2011.
D.Sivakumar and X.Arul Selvaraj, "t-norm (lamta,mu)-fuzzy sub near rings and t-norm (lamta,mu)-fuzzy ideals of near rings.", international journal of algebra, Volume 5, Number 3, 2011, pp. 123-128. 2011.
D.Sivakumar and X.Arul Selvaraj, "t-norm (lamta,mu)-fuzzy qutient near rings and t-norm (lamta,mu)-fuzzy quasi ideals .", international mathematical forum , Volume 6, Number 5, 2011, pp. 203-209. 2011.
D.Sivakumar, P.Dheena, "Left prime weakly regular near-rings.", Tamkang Journal of Mathematics, Volume 36, Number 4, 2005, pp. 77-85. 2005.
D.Sivakumar, P.Dheena, "On Strongly 0-prime ideals in near-rings.", Malaysian Math. Sci. Soc, Volume 27, Number 2, 2004, pp. 77-85. 2004.
List of Conferences - National
D. Sivakumar, O. Uma Maheshwari, (T1, T2)- # rg - continuous functions in bitopological spaces, NCR-TAAM 2013, May 9-10, 2013, National institute of Technology, Trichy, pp. 214-219. National institute of Technology, Trichy, National institute of Technology, Trichy.
A.Mohamed Ali and D.Sivakumar, Some properties of fuzzy subnear rings of a near ring- III, National conferences on graph theory algebra and analysis, Mar 6-7, 2012, Sadakadhullah appa college, Tirunelveli, pp. 4-11. Sadakadhullah appa college, Tirunelveli, Sadakadhullah appa college, Tirunelveli.
A.Mohamed Ali and D.Sivakumar, Some properties of fuzzy subnear rings of a near ring- II, National conferences on graph theory algebra and analysis, Mar 6-7, 2012, Sadakadhullah appa college, Tirunelveli, pp. 6-14. Sadakadhullah appa college, Tirunelveli, Sadakadhullah appa college, Tirunelveli.
A.Mohamed Ali and D.Sivakumar, Some properties of fuzzy subnear rings of a near ring- II, National conferences on graph theory algebra and analysis, Mar 6-7, 2012, Sadakadhullah appa college, Tirunelveli, pp. 6-14. Sadakadhullah appa college, Tirunelveli, Sadakadhullah appa college, Tirunelveli.
A.Mohamed Ali and D.Sivakumar, Some properties of fuzzy subnear rings of a near ring- II, National conferences on graph theory algebra and analysis, Mar 6-7, 2012, Sadakadhullah appa college, Tirunelveli, pp. 6-14. Sadakadhullah appa college, Tirunelveli, Sadakadhullah appa college, Tirunelveli.
D.Sivakumar, P.Dheena, Minimal weak quasi-ideals in abstract affine near-rings, 18th annual conference of the Ramanujan Mathematical society, May 17-20, 2003, Annamalai university, pp. 77-85. Annamalai university, Ramanujan Mathematical society.
D.Sivakumar, P.Dheena, On semicommutative phi-regular near-rings, 18th annual conference of the Ramanujan Mathematical society, May 17-20, 2003, Annamalai university, pp. 77-85. Annamalai university, Ramanujan Mathematical society.
List of Conferences - International
D. Jeeva , A. Vadivel and D. Sivakumar, Maps and homeomorphisms via M-open set in neutrosophic soft topological spaces, Advances in physical sciences and materials(ICAPSM 2021), Aug 12-13, 2021, SNS college of technology, pp. 1022-1033. ICAPSM 2021, ICAPSM 2021.
D. Sivakumar, O. Uma Maheshwari, Regular weakly u-compactness in topological spaces, International conference on Applied Mathematical Models,ICAMM 2014, Jan 3-5, 2014, PSG College of Technology , Coimbature , pp. 279-284. PSG College of Technology , Coimbature , PSG College of Technology , Coimbature .