D∗-Local Functions in Ideal Spaces

Farhat, Yasser; Ramesh, Rock; Varghese, Alphymol; Subramanian, Vadakasi

doi:10.28924/2291-8639-22-2024-102

Research Article

D∗-Local Functions in Ideal Spaces

Yasser Farhat
Rock Ramesh*
Alphymol Varghese
Vadakasi Subramanian

* Corresponding author

Abstract

In this study, a novel operation is introduced, which creates a local function of A regard to I and τ respectively denoted as A_D_∗(I,τ)={y∈Y|V∩A∉I, for each V∈τ^D(y)} where τ^D(y)={V∈τ^D|y∈V}. We then look into some of the fundamental characteristics and attributes of A_D_∗(I,τ). Additionally, we look into an operator η: P(Y)→τ provides η(E)=Y−[Y−E]_D_∗ for all E∈P(Y). Then the closure operator cl_D_∗(E)=E_D_∗∪E which forms the topology and the relation τ_D_∗={V⊆Y|cl_D_∗(Y−V)=Y−V}.

How to Cite

Y. Farhat, R. Ramesh, A. Varghese, V. Subramanian, D∗-Local Functions in Ideal Spaces, Int. J. Anal. Appl. 22 (2024), 102. https://doi.org/10.28924/2291-8639-22-2024-102

BibTeX

@article{Farhat2024,
  author  = {Farhat, Yasser and Ramesh, Rock and Varghese, Alphymol and Subramanian, Vadakasi},
  title   = {D∗-Local Functions in Ideal Spaces},
  journal = {Int. J. Anal. Appl.},
  volume  = {22},
  year    = {2024},
  pages   = {102},
  doi     = {10.28924/2291-8639-22-2024-102}
}

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