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Boolova algebra

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

”Nenulové prvky Boolovej algebry nazývame atómy, ak<br />

∀ y∈Ω , y≤x ⇒ y=0∨ y=x , kde x je atóm<br />

Ak x je atóm, potom ∀ y∈Ω , xy=0∨xy=x<br />

Ak x 1, x 2 sú atómy a x 1 ≠x 2, x 1 x 2 =0<br />

Konečná <strong>Boolova</strong> <strong>algebra</strong> s n atómami má 2 n prvkov<br />

a každý nenulový prvok sa dá napísať ako jedinečná<br />

suma atómov.

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