TARU PUBLICATIONS
Journal of Discrete Mathematical Sciences and Cryptography cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-0065·ISSN (Print): 0972-0529

Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
submissions@tarupublications.com
Open Access Research Article

L- open set and some related concepts

* , ,

* Corresponding author · click or hover a name for details

pp. 1715–1721Vol. 27Issue 5August 2024DOI: 10.47974/JDMSC-2013 Crossmark XML
Received:
08 Jan 2024
Published Online:
26 Aug 2024
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-2013
Pages:
1715–1721

Abstract

In this paper we argue that the set all L-open is a topology and broaden the idea of an open set by introducing the notion of an L-open set. In addition to exploring the concept of L-base, this paper aims to provide a thorough investigation of an L-open set and a plethora of new results.  The connections between open sets, ordinary open sets, h-open sets, and L-open sets are also provided.

Keywords

Subject Classifications

05C0705C09

References

[1] A. S. Mohammed, S. H. Asaad, and I. S. Ahmed, “New properties of strongly regular left almost semi-group,” J. Discret. Math. Sci. Cryptogr., vol. 25, no. 2, pp. 615–622 (2022), doi: 10.1080/09720529.2021.1982491.
[2] R. B. Esmaeel and R. J. Mohammad, “On Nano soft J-semi-g-closed sets,” J. Phys. Conf. Ser., vol. 1591, no. 1 (2020), doi: 10.1088/1742-6596/1591/1/012071.
[3] N. Levine, “Semi-Open Sets and Semi-Continuity in Topological Spaces,” Am. Math. Mon., vol. 70, no. 1, pp. 36–41 (1963), doi: 10.1080/00029890.1963.11990039.
[4] O. Njastad, “on some classes of nearly open sets,” Pacific J. Math., vol. 15, no. 3, pp. 961–970 (1965).
[5] M. Ali, A.-R. Massed, and A.-J. Mohammad, “β*-Open sets and β*-continuity in topological spaces,” Thai J. Math., vol. 8, pp. 142–148 (2014), doi: 10.1016/j.jtusci.2013.09.006.
[6] F. Abbas, “h-open sets in Topological Spaces,” Bol. da Soc. Parana. Mat., vol. 41, no. 41, pp. 1–9 (2023), doi: 10.5269/bspm.51006.
[7] Z. T. Abdulqader, S. H. Khalil, L. S. Abdalbaqi, and M. H. Hadi, “Hpre-closed graph in topological spaces,” J. Interdiscip. Math., vol. 25, no. 6, pp. 1823–1828 (2022), doi: 10.1080/09720502.2022.2052572.
[8] R. B. Esmaeel and A. I. Nasir, “Some properties of Ĩ-semi-open soft sets with respect to soft ideals,” Int. J. Pure Appl. Math., vol. 111, no. 4, pp. 545–562 (2016), doi: 10.12732/ijpam.v111i4.2.

Views: 158Downloads: 6Citations: 1