New generalized closure operators induced by local functions via ideals

Articles in Press

Document Type : Research Paper

Authors

1 Mathematics Department, Faculty of Science, Sohag University, Sohag 82524, Egypt

2 Mathematics Department, Faculty of Science, Benha University, Benha 13518, Egypt

Abstract

This work aims to introduce and examine four new operators based on the topological structure “ideal” and the notion of “generalized” generating two generalized ideal topological spaces. The proposed structures are discussed in detail in terms of topological properties and some basic theories. Moreover,  we obtain bases for the generated generalized ideal topological spaces. Further,  we define the concept of topology suitable for an ideal. In addition,  we provide several essential findings pertaining to these novel frameworks. We also provide several counterexamples that are related to our findings.

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References

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Journal of Mahani Mathematical Research

Articles in Press, Accepted Manuscript
Available Online from 12 March 2025

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History

  • Receive Date: 05 October 2024
  • Revise Date: 28 January 2025
  • Accept Date: 11 March 2025

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