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Soit (A = {2, 4, 6, 9, 12, 18, 27, 36, 48, 60, 72}, R) un ensemble partiellement ordonne, o`u la relation R est definie

Soit (A = {2, 4, 6, 9, 12, 18, 27, 36, 48, 60, 72}, R) un ensemble partiellement ordonne, o`u la relation R est definie par: xRy si et seulement si y divise x. a) Trouvez tous les elements minimaux. b) Trouvez tous les elements maximaux. c) Y a-t-il un plus grand element? Si oui precisez-le d) Y a-t-il un plus petit element? Si oui precisez-le e) Trouvez tous les majorants de {60, 72}. f) Trouvez tous les minorants de {2, 9}. g) Trouvez le supremum de {60, 72} s'il existe. h) Trouvez l'infimum de {2, 9} s'il existe.

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