International Journal of Computational and Applied Mathematics & Computer Science
E-ISSN: 2769-2477
Volume 4, 2024
On Semi Generalization of Compatible Ideals Regarding Semi Generalised Open Sets
Authors: , , , ,
Abstract: In this paper, we use the exiting semi-generalized open set to define semi generalised local function as
intersection between any subset of a topological space $$X$$ and semi generalized-open neighboorhood of any point
of $$X$$ that is not belong to ideal $$I$$ and investigate its properties in ideal topological space. It is a generalization of the
existing generalized local function. We also use the exiting semi-generalized open set to define semi generalised
compatible ideals as for every $$A \subseteq X$$ such that for every $$x \in A$$, there exist semi generalized-open set $$U$$ containing
$$x$$ such that $$U \cup A \in I$$, then $$A \in I$$. It is a generalization of the existing generalized compatible ideal. We
characterized relationship between semi generalised local function and semi generalised compatible ideal.
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Keywords: Dense, Ideal topological space, Semi generalised open sets, semi-generalized - neighbourhood,
Semi generalised local function and Semi generalised compatible ideal
Pages: 27-32
DOI: 10.37394/232028.2024.4.3