On the uniqueness of $ \mathcal{I}$-limits of sequences

We define the $ \mathcal{I} $-sequential topology on a topological space where $ \mathcal{I} $ denotes an ideal of the set of positive integers. We also study the relationship between $ \mathcal{I}$-separatedness and uniqueness of $ \mathcal{I}$-limits of sequences. Furthermore, we give a characterization of uniqueness of $ \mathcal{I}$- limits of sequences by $ \mathcal{I}$-closedness of sequentially $ \mathcal{I}$-compact subset.