The pointfree version of grills

Ali Akbar Estaji, Toktam Haghdadi

Abstract


‎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 $(X,\tau)$‎, ‎and present the concept of upper approximation $\theta$ over $B$‎. ‎Moreover‎, ‎some properties of them are given‎. ‎Also‎, ‎we introduce and study the new concepts grill and $\theta$-rough grill on Boolean algebras‎.

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