Question

Consider the poset S = ({P{1,2,3} - {0}), S) (a) List any minimal elements (b) If it exists give the minimum element (c) List any maximal elements (d) If it exists give the maximum element (e) Give the Hasse diagram for S

Answer 1

* consider the poset S= (( P {1,2,3} - {8}), s). te > P{1,2,3}-{4} = {{1},{2},{3}, {1,2},{1,2}, {2,93, 31,2,3}} (a) List any misimal elements. - There are three minimal elements of S, and they are {1}, {2}, {3} (b) If it exists give the minimum element. > There is no minimum element (es. List any maximal elements. There is one maximal element which is {1,2,3} (d) If it exists give the maximum element. » The maximum element is

(e) Give the Hasse diagram for S. {1,2,3} {1,2} $2,3} ! $1,33 si} $25 $33 Hasse diagram for S. This is the
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