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In this paper, the pointfree version of grills is introduced. We consider a Boolean algebra B and a subframe L instead of a topological space (X,?), and present the concept of approximation ? over B. Moreover, some properties of them are given. Also, we introduce and study the new concepts grill and ?-grill on Boolean algebras.doi:10.2298/fil2008667e fatcat:e4qphfbxabfm3jbxvgmlhp6ccm