Linearly S-closed spaces

We introduce the class of linearly S-closed spaces as a proper subclass H-closed spaces. This property lies between S-closedness and countable S-closedness. A space is called if only any semi-open chain cover posses member dense in space. It shown that extremally disconnected coincide. gave characterizations these terms s-accumulation points filter bases complete families open subsets. While regular are compact there non compact, regular, Hausdorff, first countable, disconnected. Moreover, notions S-closedness, disconnectedness equivalent. Some cardinality bounds for this obtained. Several examples provided to illustrate our results.