5. Let S be the set of all positive divisors of p?q² where p and q are primes. Consider the poset (S, R) where R is the 'divides' relation, i.e. Vx,y E S, (x, y) E R if x divides y. a) Find a topological sorting for the elements of S. b) What is the greatest element of the poset if there is any ? c) What is the least element of the poset if there is any ?

5. Let S be the set of all positive divisors of p?q² where p and q are primes. Consider the poset (S, R) where R is the 'divides' relation, i.e. Vx,y E S, (x, y) E R if x divides y. a) Find a topological sorting for the elements of S. b) What is the greatest element of the poset if there is any ? c) What is the least element of the poset if there is any ?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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