GATE | GATE 2017 MOCK II | Question 31

Which Of the following statements are true ?

S1: Every Distributive lattice has unique complement.
S2: In Complemented lattice every element has at least one complement.
S3: Boolean lattice is both complemented and distributive.
S4: In Boolean lattice every lattice has exactly one complement.

(A) S1 & S4
(B) S1, S2 & S3
(C) S2, S3 & S4
(D) All of these statements


Answer: (C)

Explanation: Clearly S1 is wrong because in distributive lattice a element may have zero complement. Rest other statements are properties of the corresponding lattices.

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