Abstract
The main result of this paper shows that a distributive pseudocomplemented lattice ( L ; ∨ , ∧ , ∗ , 0 , 1 ) (L; \vee , \wedge {,^ \ast },0,1) , considered as an algebra of type ⟨ 2 , 2 , 1 , 0 , 0 ⟩ \langle 2,2,1,0,0\rangle , can be represented as the algebra of all global sections in a certain sheaf. The stalks are the quotient algebras L / Θ ( O ( P ) ) L/\Theta (O(P)) , where P P is a prime ideal in L L . The base space is the set of prime ideals of L L equipped with the topology whose basic open sets are of the form P : P P:P prime in L , x ∗ ∗ ∉ P L,{x^{ \ast \ast }} \notin P for some x ∈ L x \in L .
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