A partially ordered set is said to be a lattice if every two elements in the…
2010
A partially ordered set is said to be a lattice if every two elements in the set have:
Answer: C. both (A) and (B) — A lattice is defined as a partially ordered set where every pair of elements has both a least upper bound and a greatest lower bound. Option 3 correctly…
- A.
a unique least upper bound
- B.
a unique greatest lower bound
- C.
both (A) and (B)
- D.
none of the above
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Correct answer: C
A lattice is defined as a partially ordered set where every pair of elements has both a least upper bound and a greatest lower bound. Option 3 correctly identifies this requirement.
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