In a poset P({v, x, y, z}, ⊆) which of the following is the greatest element?
A. {v, x, y, z}
B. 1
C. ∅
D. {vx, xy, yz}
Answer:A
In a poset P({v, x, y, z}, ⊆) which of the following is the greatest element?
A. {v, x, y, z} B. 1 C. ∅ D. {vx, xy, yz}
Explanation: We know that, in a Hasse diagram, the maximal element(s) are the top and the minimal elements are at the bottom of the diagram. In the given poset, {v, x, y, z} is the maximal or greatest element and ∅ is the minimal or least element.