15. If S1 and S2 are two semialgebras of subsets of 2, show that the class S1S2 := {A1A2 : A1 e S1, A2 e S2} is again a semialgebra of subsets of 2. The field (o-field) generated by S1S2 is identical with that generated by Si U S2.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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15. If S1 and S2 are two semialgebras of subsets of 2, show that the class
S1S2 := {A1A2 : A1 € S1, A2 E S2}
is again a semialgebra of subsets of 2. The field (o-field) generated by
S1S2 is identical with that generated by S1 U S2.
Transcribed Image Text:15. If S1 and S2 are two semialgebras of subsets of 2, show that the class S1S2 := {A1A2 : A1 € S1, A2 E S2} is again a semialgebra of subsets of 2. The field (o-field) generated by S1S2 is identical with that generated by S1 U S2.
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