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Summing Boolean Algebras

✍ Scribed by Antonio Aizpuru; Antonio Gutiérrez-Dávila

Publisher: Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year: 2004
Tongue: English
Weight: 217 KB
Volume: 20
Category: Article
ISSN: 1439-7617
DOI: 10.1007/s10114-003-0306-y

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## S(z A y ) z S(A), by (c) * S(z) A S(Y) 2 S(A) e S(x) 2 S(A) and S(y) 2 S(A) e C ( s ) s C ( A ) 'and C ( y ) E C ( A ) , by (c) o x € C ( A ) and Y E C ( A ) . Now every ultrafilter is consistent and closed with respect to C, since if U is an ultrafilter and C ( U ) = X , then C({,uu,, . . ., ,