Let P D .f1; 2; 3; : : : ; 20g; j/; that is, P is the poset whose elements are the
Chapter 0, Problem 1(choose chapter or problem)
Let P D .f1; 2; 3; : : : ; 20g; j/; that is, P is the poset whose elements are the integers from 1 to 20 ordered by divisibility. a. Draw a Hasse diagram of P. b. Find a largest chain in P. c. Find a largest antichain in P. d. Find the set of all maximal elements of P. e. Find the set of all minimal elements of P. f. Find the set of all maximum elements of P. g. Find the set of all minimum elements of P.
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