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Öğe Generalizations of strongly hollow ideals and a corresponding topology(Amer Inst Mathematical Sciences-Aims, 2021) Ceken, Secil; Yuksel, CemIn this paper, we introduce and study the notions of M-strongly hollow and M-PS-hollow ideals where M is a module over a commutative ring R. These notions are generalizations of strongly hollow ideals. We investigate some properties and characterizations of M-strongly hollow (M-PS-hollow) ideals. Then we define and study a topology on the set of all M-PS-hollow ideals of a commutative ring R. We investigate when this topological space is irreducible, Noetherian, T-0, T-1 and spectral space.