If $ is a semiring, then the following statements hold: n (i) If A = $ and A₁, A2,...,A₁ = $, then A-UA, is a finite union of pairwise disjoint n i=1 sets of $ (and hence is a o-set).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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If $ is a semiring, then the following statements hold:
n
(i) Iƒ A € $ and A₁, A2,...,A € 8, then A-ŰA, is a finite union of pairwise disjoint
n
i=1
sets of $ (and hence is a 6-set).
Transcribed Image Text:If $ is a semiring, then the following statements hold: n (i) Iƒ A € $ and A₁, A2,...,A € 8, then A-ŰA, is a finite union of pairwise disjoint n i=1 sets of $ (and hence is a 6-set).
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