A ________ has a greatest element and a least element which satisfy 0<=a<=1 for every a in the lattice(say, L).
A. semilattice
B. join semilattice
C. meet semilattice
D. bounded lattice
Answer:D
A ________ has a greatest element and a least element which satisfy 0<=a<=1 for every a in the lattice(say, L).
A. semilattice B. join semilattice C. meet semilattice D. bounded lattice
Explanation: A lattice that has additionally a supremum element and an infimum element which satisfy 0<=a<=1, for every an in the lattice is called a bounded lattice. A partially ordered set is a bounded lattice if and only if every finite set (including the empty set) of elements has a join and a meet.