So, while I understand the difference between maximal elements and greatest elements, I'm having trouble understanding how to identify them on a lattice diagram (just as an example, the lattice diagram of the power set of A = {1,2,3}).
From what I understand (and this could be wrong), the element {1,2,3} of the power set would be both the greatest element (since {1,2,3} is drawn at least as high as every other element in the diagram) and maximal element (since nothing is drawn higher than {1,2,3}).
Any help will be greatly appreciated! Thanks.