On a new generalized closure operator in the frame of ideals

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 paper aims to propose and examine two new operators based on the fundamental structure “ideal” and the notion of “generalized” producing a new generalized ideal topological space. The produced generalized space is finer than the original spaces. Also, the introduced structures are explained in detail in terms of topological basic theories and some properties. Moreover,  we obtain some results for the produced generalized ideal topological space. Further,  we provide several essential results related to these new frameworks. We also  provide some examples to further illustrate our discussions and related findings.

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References

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Journal of Mahani Mathematical Research
Volume 15, Issue 1 - Serial Number 33
January 2026
Pages 251-266

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History

  • Receive Date: 25 March 2025
  • Revise Date: 20 July 2025
  • Accept Date: 16 August 2025

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