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NIELIT 2017 July Scientist B (IT) - Section B: 18

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If $B$ is a Boolean algebra, then which of the following is true?

  1. $B$ is a finite but not complemented lattice
  2. $B$ is a finite, complemented and distributive lattice
  3. $B$ is a finite,distributive but not complemented lattice
  4. $B$ is not distributive lattice
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A Boolean algebra B is a bounded, distributive and complemented lattice.

a Boolean algebra or Boolean lattice is a complemented distributive lattice.

A complemented lattice that is also distributive is aBoolean algebra  For a distributive lattice, the complement of x, when it exists, is unique.

https://en.wikipedia.org/wiki/Boolean_algebra_(structure)

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