I Rajasekaran

@tdmnscollege.edu.in

Assistant Professor in Mathematics
Tirunelveli Dakshina Mara Nadar Sangam College



              

https://researchid.co/sekarmelakkal

EDUCATION

M.Sc., B.Ed., P.hD

RESEARCH INTERESTS

Generalized topology

3

Scopus Publications

224

Scholar Citations

9

Scholar h-index

9

Scholar i10-index

Scopus Publications

  • On a new class of semi generalized closed sets in strong generalized topological spaces
    G. Selvi and I. Rajasekaran

    Union of Researchers of Macedonia
    This paper deals with the concepts of semi generalized closed sets in strong generalized topological spaces such as $sg^{\\star \\star}_\\mu$-closed set, $sg^{\\star \\star}_\\mu$-open set, $g^{\\star \\star}_\\mu$-closed set, $g^{\\star \\star}_\\mu$-open set and studied some of its basic properties included with $sg^{\\star \\star}_\\mu$-continuous maps, $sg^{\\star \\star}_\\mu$-irresolute maps and $T_\\frac{1}{2}$-space in strong generalized topological spaces.

  • On nano M<inf>r</inf>-set and nano M<inf>r</inf>*-set in nanotopological spaces
    I. Rajasekaran, G. Selvi, and B. Revathi

    Union of Researchers of Macedonia
    In this paper, we introduce the notions of nano $\\mathcal{M}_r$-sets and nano $\\mathcal{M}_{r^\\star}$-sets in nanotopological spaces and their properties are discussed with suitable examples.

  • Decompositions of πg-continuity via ideal nano topological spaces
    O. Nethaji, R. Asokan, and I. Rajasekara

    Union of Researchers of Macedonia
    In this paper, we introduce and discuss some notions of Inπg-closed sets, Inπg-continuity in ideal nano spaces.

RECENT SCHOLAR PUBLICATIONS

  • ON t*-SET AND B*-SET IN NANO TOPOLOGICAL SPACES
    SG SEKAR NARASIMMAN, ASOKAN RAGHAVAN, RAJASEKARAN ILANGOVAN
    Journal of Science and Arts 24 (1), 17-20 2024

  • CLOSED MAPPING IN FUZZY TOPOLOGICAL SPACES
    SCIR S. Jackson
    International Conference on Applied Mathematics and Computing (ICAMC2023), 15-18 2023

  • On regular closed sets in ideal nano topological spaces
    IR N. Sekar, R. Asokan, G. Selvi
    BULLETIN OF THE INTERNATIONAL MATHEMATICAL VIRTUAL INSTITUTE 13 (1), 135–141 2023

  • On δ-open sets in ideal nano topological spaces
    NSRAI Rajasekaran
    Ratio Mathematica 45, 185-193 2023

  • SOME IMPROVISED SETS IN GRILL TOPOLOGICAL SPACES
    SJANDNS I. RAJASEKARAN, O. NETHAJI
    ANNALS OF COMMUNICATIONS IN MATHEMATICS 5 (3), 207-211 2022

  • ON SOME NANO SETS AND A DECOMPOSITION OF NANO CONTINUITY VIA IDEALIZATION
    I RAJASEKARAN
    BULLETIN OF THE INTERNATIONAL MATHEMATICAL VIRTUAL INSTITUTE 12 (3), 453-460 2022

  • SOME PERFECT SETS IN IDEAL NANO TOPOLOGICAL SPACES
    RAANDIR N. SEKAR
    ANNALS OF COMMUNICATIONS IN MATHEMATICS 5 (2), 80-87 2022

  • PROPERTIES OF STRONGLY PRE-OPEN SETS IN IDEAL NANO TOPOLOGICAL SPACES
    RAANDIR N. SEKAR
    ANNALS OF COMMUNICATIONS IN MATHEMATICS 5 (2), 74-79 2022

  • On Sp⋆ -open sets in ideal nano topological spaces
    RAIR N. Sekar
    Asia Mathematika 6 (2), 39-47 2022

  • ON Ⓢ-CLOSED SETS AND SEMI Ⓢ-CLOSED IN NANO TOPOLOGICAL SPACES
    NSANDAP I. RAJASEKARAN
    ANNALS OF COMMUNICATIONS IN MATHEMATICS 5 (1), 55-62 2022

  • On *b-open sets and *b-sets in nano topological space
    I RAJASEKARAN
    Asia Mathematika 5 (3), 84-88 2021

  • ON NANO gs-CLOSED SETS AND NANO gs-CONTINUOUS FUNCTIONS
    ONSJ I. Rajasekaran
    BULLETIN OF THE INTERNATIONAL MATHEMATICAL VIRTUAL INSTITUTE 11 (3), 539-543 2021

  • A NEW CLASS OF STAR CLOSED SETS IN FUZZY TOPOLOGICAL SPACES
    SCIR S. Jackson
    Proceedings of National Web Conference on Challenges and Innovation in 2021

  • ON A NEW CLASS OF SEMI GENERALIZED CLOSED SETS IN STRONG GENERALIZED TOPOLOGICAL SPACES G.
    GSANDI RAJASEKARAN
    Advances in Mathematics: Scientific Journal 9 (11), 9353-9360 2020

  • ON NANO Mr-SET AND NANO Mr⋆ SPACES -SET IN NANOTOPOLOGICAL
    GSANDBR I. RAJASEKARAN
    Advances in Mathematics: Scientific Journal 9 (11), 9345-9351 2020

  • Several Types of B#-closed Sets in Ideal Nanotopological Spaces
    IR Raghavan Asokan , Ochanan Nethaji
    Journal of New Theory 32, 55-61 2020

  • Weak forms of strongly nano open sets in ideal nanotopological spaces
    I RAJASEKARAN
    Asia Mathematika 5 (2), 96-102 2020

  • On some nano ∆-open set in nanotopological spaces
    I RAJASEKARAN
    Asia Mathematika 5 (2), 102-105 2020

  • Several Types of B#-closed Sets in Ideal Nanotopological Spaces
    R Asokan, O Nethaji, I Rajasekaran
    Journal of New Theory, 51-57 2020

  • On C⋆19-open in ideal nano space
    ONRP I. Rajasekaran
    South Asian Journal of Mathematics 10 (1), 33-38 2020

MOST CITED SCHOLAR PUBLICATIONS

  • On some new subsets of nano topological spaces
    IRO Nethaji
    Journal of New Theory, 52-58 2017
    Citations: 27

  • Simple Forms of Nano Open Sets in an Ideal Nano Topological Spaces
    IRO Nethaji
    Journal of new theory, 35-43 2018
    Citations: 24

  • Novel concept of ideal nanotopological spaces
    RAIR O. Nethaji
    Asia Mathematika 3 (3), 5-15 2019
    Citations: 16

  • New generalized classes of ideal nanotoplogical spaces
    RAIR Ochanan Nethaji
    Bulletin of the international mathematical virtual institute 9 (3), 543-552 2019
    Citations: 15

  • New Generalized Classes of tau-omega
    I Rajasekaran, O Ravi, SS Kanna, M Paranjothi
    European Journal of Pure and Applied Mathematics 9 (2), 152-164 2016
    Citations: 15

  • On Nano gβ-closed Sets
    MMON I. Rajasekaran
    International Journal of Mathematics And its Applications 5 (Issue 4–C), 377–382 2017
    Citations: 13

  • Unified approach of several sets in ideal nanotopological spaces
    IRO Nethaji
    Asia Mathematika 3 (1), 70-78 2019
    Citations: 12

  • Perceptions of Several Sets in Ideal Nano Topological Spaces
    ONRPK Ilangovan Rajasekaran
    Journal of new theory, 78-84 2018
    Citations: 11

  • On Nano πgα-Closed Sets
    IRO Nethaji
    Journal of New Theory, 66-72 2018
    Citations: Closed Sets

  • On Nano Λg*-Closed Sets
    TK Ilangovan Rajasekaran, Ochanan Nethaji
    Journal of new theory 21, 86-93 2018
    Citations: d Sets

  • On nano πgb-closed sets
    IRO Nethaji
    The Journal of New Theory 20, 57-63 2018
    Citations: d sets

  • On nano πgs-closed sets
    IRO Nethaji
    Journal of New Theory 19, 56-62 2017
    Citations: 10

  • On nano generalized *-closed sets in an ideal nanotopological space
    R Asokan, O Nethaji, I Rajasekaran
    Asia Mathematika 2 (3), 50-58 2018
    Citations: 8

  • On new classes of some nano open sets
    MMON I. Rajasekaran
    International Journal of Pure and Applied Mathematics Sciences 10 (2), 147-155 2017
    Citations: 8

  • On nano α* -sets and nano Rα*-sets
    I Rajasekaran
    Journal of New Theory 18, 88-93 2017
    Citations: 6

  • Weakly g*-closed Sets
    O Ravi, I Rajasekaran, M Sathyabama
    International Journal of Current Research in Science and Technology 1 (5), 45-52 2015
    Citations: 6

  • On *b-open sets and *b-sets in nano topological space
    I RAJASEKARAN
    Asia Mathematika 5 (3), 84-88 2021
    Citations: 5

  • ω-OPEN SETS AND DECOMPOSITIONS OF CONTINUITY
    IRSSK O. Ravi, M. Paranjothi
    BULLETIN OF THE INTERNATIONAL MATHEMATICAL VIRTUAL INSTITUTE 6 (2), 143-155 2016
    Citations: 5

  • On β-normal spaces
    O Ravi, I Rajasekaran, S Murugesan, A Pandi
    rn 55, 7 2015
    Citations: 5

  • Weak forms of strongly nano open sets in ideal nanotopological spaces
    I RAJASEKARAN
    Asia Mathematika 5 (2), 96-102 2020
    Citations: 4