Some further results on -γ and --covers

In this paper we primarily consider the notion of I - γ -covers recently introduced in [11] as well as related notion of I - γ k -covers [9] and make some further investigations. In particular we consider the notion of κ-covers studied by Di Maio, Kočinac, Meccariello and Caserta in [8,18], and establish some results involving I - γ -covers ( I - γ k -covers) and κ-covers. Our results extend the earlier results proved in [6,8,18,29] and present a more general version using the notion of ideals.