TY - JOUR AU - Kokilavani, V. AU - Visagapriya, S. PY - 2020/05/01 Y2 - 2024/03/29 TI - A New Class on Ng# α-Quotient Mappings in Nano Topological Space JF - Journal of Scientific Research JA - J. Sci. Res. VL - 12 IS - 3 SE - Section A: Physical and Mathematical Sciences DO - 10.3329/jsr.v12i3.43838 UR - https://www.banglajol.info/index.php/JSR/article/view/43838 SP - 269-277 AB - <p>The primary intend of this article is to define a new class of mappings called <em>Ng<sup>#</sup></em> α-quotient mappings in nano topological space. The intention is to analyze characterizations and inter relationship of <em>Ng<sup>#</sup></em> α-quotient mappings with nano <em>T<sub>g</sub></em><sub>#</sub><sub>α</sub>-space, <em>Ng<sup>#</sup></em> α-continuous, <em>Ng<sup>#</sup></em> α-open, <em>Ng<sup>#</sup></em> α-irresolute, <em>Ng<sup>#</sup></em> α-homeomorphism and nano α-quotient mapping. Also several properties of strongly <em>Ng<sup>#</sup></em> α-quotient mapping are derived and the relationships among them are illustrated with the help of examples. Their interesting composition with strongly Ng<sup>#</sup> α-irresolute are established. The concept of Ng<sup>#</sup> α-quotient mapping is explored and composition of mappings under strongly Ng<sup>#</sup> α-quotient mapping and Ng<sup>#</sup> α-quotient mapping are discussed. Furthermore, to emphasize Ng<sup>#</sup> α-quotient mapping a few examples are considered and derived in detail.</p> ER -