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Abbas, Salah El-Din, Khiamy, Hossam Mahmoud, El-Sanowsy, El-Sayed, Ibedou, Ismail. (1404). On new generalized closure operator in the frame of ideals. , (), 251-266. doi: 10.22103/jmmr.2025.25028.1783
Salah El-Din Abbas; Hossam Mahmoud Khiamy; El-Sayed El-Sanowsy; Ismail Ibedou. "On new generalized closure operator in the frame of ideals". , , , 1404, 251-266. doi: 10.22103/jmmr.2025.25028.1783
Abbas, Salah El-Din, Khiamy, Hossam Mahmoud, El-Sanowsy, El-Sayed, Ibedou, Ismail. (1404). 'On new generalized closure operator in the frame of ideals', , (), pp. 251-266. doi: 10.22103/jmmr.2025.25028.1783
Abbas, Salah El-Din, Khiamy, Hossam Mahmoud, El-Sanowsy, El-Sayed, Ibedou, Ismail. On new generalized closure operator in the frame of ideals. , 1404; (): 251-266. doi: 10.22103/jmmr.2025.25028.1783

On new generalized closure operator in the frame of ideals

Journal of Mahani Mathematical Research
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 25 مرداد 1404    اصل مقاله (498.04 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22103/jmmr.2025.25028.1783
نویسندگان
Salah El-Din Abbas1؛ Hossam Mahmoud Khiamy* 1؛ El-Sayed El-Sanowsy1؛ Ismail Ibedou2
1Mathematics Department, Faculty of Science, Sohag University, Sohag 82524, Egypt
2Mathematics Department, Faculty of Science, Benha University, Benha 13518, Egypt
چکیده
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.
کلیدواژه‌ها
ideal؛ $(\cdot)^{\bullet}$-operator؛ $\overrightarrow{\sum }$-operator؛ generalized topology
مراجع
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