Some operators in soft primal spaces

Ahmad Al-Omari; Mesfer H. Alqahtani; Ahmad Al-Omari; Mesfer H. Alqahtani

doi:10.3934/math.2024525

AIMS Mathematics

2024, Volume 9, Issue 5: 10756-10774. doi: 10.3934/math.2024525

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Some operators in soft primal spaces

Ahmad Al-Omari ^{1
,
,},
Mesfer H. Alqahtani ^{2
,
,}

1.
Department of Mathematics, Faculty of Sciences, Al al-Bayt University, Mafraq 25113, Jordan
2.
Department of Mathematics, University College of Umluj, University of Tabuk, Tabuk 48322, Saudi Arabia

Received: 19 December 2023 Revised: 12 March 2024 Accepted: 13 March 2024 Published: 19 March 2024
MSC : 54A05, 54A10

The concept of operators in topological spaces occupies a very important place. For this reason, a great deal of work and many results were presented via operators. Herein, we defined a primal local soft closure operator $ \Lambda(\cdot) $ using the concept of soft topology and soft primal and reconnoitered its basic characteristics. Then, we found several fundamental results about the behavior of the primal soft closure operator $ \lambda{(\cdot)} $ with the help of $ \Lambda(\cdot). $ Among other obtained results, we introduced a new topology induced by the primal soft closure operator. At last, we defined primal soft suitable spaces and gave some equivalent descriptions of it.
- primal space,
- soft open,
- soft local operator,
- soft primal,
- soft primal suitable spaces
Citation: Ahmad Al-Omari, Mesfer H. Alqahtani. Some operators in soft primal spaces[J]. AIMS Mathematics, 2024, 9(5): 10756-10774. doi: 10.3934/math.2024525

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Abstract

The concept of operators in topological spaces occupies a very important place. For this reason, a great deal of work and many results were presented via operators. Herein, we defined a primal local soft closure operator $ \Lambda(\cdot) $ using the concept of soft topology and soft primal and reconnoitered its basic characteristics. Then, we found several fundamental results about the behavior of the primal soft closure operator $ \lambda{(\cdot)} $ with the help of $ \Lambda(\cdot). $ Among other obtained results, we introduced a new topology induced by the primal soft closure operator. At last, we defined primal soft suitable spaces and gave some equivalent descriptions of it.

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