Primal Structure with Closure Operators and Their Applications

Author:

Al-Omari Ahmad1ORCID,Alqahtani Mesfer H.2ORCID

Affiliation:

1. Department of Mathematics, Faculty of Sciences, Al al-Bayt University, P.O. Box 130095, Mafraq 25113, Jordan

2. Department of Mathematics, University College of Umluj, University of Tabuk, Tabuk 48322, Saudi Arabia

Abstract

Acharjee et al. have created a new structure in mathematics called a primal. Therefore, the primary goal of this research was to introduce and explore more primal space features. Additionally, we studied some of the fundamental characteristics of two novel operators that we define using primal spaces. Using these new operators, we were able to create a weaker version of the original topology. Finally, we provide some examples to further illustrate our discussion of some of their characteristics.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference16 articles.

1. Willard, S. (2004). General Topology, Dover Publications.

2. Kuratowski, K. (1966). Topologie I, Academic Press.

3. Sur les notions de filter et grille;Choquet;C. R. Acad. Sci.,1947

4. New topologies from old via ideals;Jankovic;Am. Math. Mon.,1990

5. Acharjee, S., Ozcog, M., and Issaka, F.Y. (2022). Primal topological spaces. arXiv.

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