Which of the following statements about the POSET diagram given below is TRUE ?
For a lattice with 8 elements to be called as boolean algebra
A) It is a necessary and a sufficient condition that it should be isomorphic to above POSET diagram.
B) It is necessary condition to be isomorphic to above POSET diagram but not a sufficient condition.
C) It is sufficient condition but not a necessary condition.
Which among A),B),C) is true ..? why ? please explain ?