Consider the ordering relation a | b ⊆ N x N over natural numbers N such that a | b if there exists c belong to N such that a*c=b. Then ___________
A. | is an equivalence relation
B. It is a total order
C. Every subset of N has an upper bound under |
D. (N,|) is a lattice but not a complete lattice
Answer:D
Consider the ordering relation a | b ⊆ N x N over natural numbers N such that a | b if there exists c belong to N such that a*c=b. Then ___________
A. | is an equivalence relation B. It is a total order C. Every subset of N has an upper bound under | D. (N,|) is a lattice but not a complete lattice