The pointfree version of grills | Zendy

Ali Akbar Estaji | Zendy; Toktam Haghdadi | Zendy

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The pointfree version of grills

Author(s) -

Ali Akbar Estaji,

Toktam Haghdadi

Publication year - 2020

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil2008667e

Subject(s) - mathematics , stone's representation theorem for boolean algebras , algebra over a field , space (punctuation) , subframe , boolean algebra , pure mathematics , discrete mathematics , two element boolean algebra , algebra representation , linguistics , computer science , computer network , telecommunications link , philosophy

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, τ), and present the concept of approximation θ over B. Moreover, some properties of them are given. Also, we introduce and study the new concepts grill and θ-grill on Boolean algebras.

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