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Boolova algebra

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<strong>Boolova</strong> Algebra<br />

Príklad:<br />

Majme množinu deliteľov čísla 30: B={1,2,3,5,6,10 ,15,30}.<br />

Zadefinovaním operácie gcd x , y ako násobenie a lcm x , y<br />

ako sčítanie a negáciu ako 30/ x , spolu s 1 ako nulovým<br />

prvkom a 30 ako jednotkou, dostaneme Boolovu algebru.<br />

gcd x ,lcm y , z=lcmgcd x , y, gcd x , z<br />

x=2 k 1<br />

3<br />

k 25 k 3<br />

y=2 m 1<br />

3<br />

m 25 m 3<br />

z=2 n 1<br />

3<br />

n 25 n 3

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