Essay
Consider the poset with the following Hasse diagram.
(a) Find all maximal elements of the poset.
(b) Find all minimal elements of the poset.
(c) Find the least element of the poset if it exists, or show that it does not exist.
(d) Find the greatest element of the poset if it exists, or show that it does not exist.
(e) What is the greatest lower bound of the set {a, b, c}?
(f) What is the least upper bound of the set {a, b, c}?
Correct Answer:

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(a) The maximal element is
.
(b) The min...View Answer
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Correct Answer:
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(b) The min...
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