More on Ideal Rothberger Spaces

The aim of this note is to provide an answer a question posted in recent paper. In2018, after introducing the notion Ideal Rothberger space, author examines some properties ofthese spaces. Also there has been comparison spaces (X, τ ), and τ∗) terms being(ideal)Rothberger. According this, it shown that if then )is also Rothberger. Therefore, naturally asked that, one can find extra conditionsfor ideal I, opposite holds. Thus, for which I-Rothberger space )implies τ∗)? In work proved I σ-ideal, τis compatible with provides solution.