Basis Existence of Internal n-Graph Space

Ahmad Lazwardi

Abstract


Graph of real valued continuous function with special addition and multiplication has already proven that is isomorphic to real number system. Furthermore, the graph of continous real valued function forms a field. The aim of this research was to generalize such concept to its n-tuple Cartesian Product and to prove that interchange of basis still able to be executed. The result of this research is n-tuple Cartesian Product of graph function forms a vector space over  and interchange of basis still able to be executed

Keywords


matematika;ruang grafik fungsi kontinu

Full Text:

PDF

References


Dobos. J and Kosice, On the Set of Discontinuity for Functions with Closed Graph, Casopis pro pestovani matematiky vol. 110, no.1, 1985

Hu, S, T, Elements of General Topology. Holden Day INC. 1969

Lazwardi. A, "Topologi Grafik Fungsi Real Kontinu," Prosiding Seminar Nasional Pendidikan Matematika, vol. 1, no. 1, pp. 51-57, 2017

Hogben. L, Handbook of Linear Algebra, Champman & Hall/CRC. 2007

Roman, S. Advanced Linear Algebra, Springer. 2008

Lang. S, Linear Algebra, Springer, 2004




DOI: https://doi.org/10.18860/ca.v6i2.8002

Refbacks

  • There are currently no refbacks.


Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Editorial Office
Mathematics Department,
Universitas Islam Negeri Maulana Malik Ibrahim Malang
Jalan Gajayana 50 Malang, Jawa Timur, Indonesia 65144
Faximile (+62) 341 558933
e-mail: cauchy@uin-malang.ac.id
 

Creative Commons License
Cauchy (ISSN: 2086-0382 / E-ISSN: 2477-3344) by http://ejournal.uin-malang.ac.id/index.php/Math is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.