Some further results on [formula omitted]-γ and [formula omitted]-[formula omitted]-covers

Abstract

In this paper we primarily consider the notion of I-γ-covers recently introduced in [11] as well as related notion of I-γk-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-γk-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.