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Quiz: Posets, Lattices and Groups

5 questionsNo time limitPass: 60%+10 XP on first pass

Partial orders and Hasse diagrams, maximal and minimal elements, least upper and greatest lower bounds, lattices, Boolean algebra, and algebraic structures — semigroups, monoids, groups, abelian and cyclic groups — explained with examples and Python checks for exam questions.

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  1. Question 1

    Which three properties define a partial order?

  2. Question 2

    In the divisors-of-12 poset under "divides", what is the join (LUB) of 4 and 6?

  3. Question 3

    Why is {1, 2, 3, 4, 6} under "divides" not a lattice?

  4. Question 4

    (Strings, concatenation) is a:

  5. Question 5

    What did the demo report for {0, 1, 2, 3} under multiplication mod 4?