(a) Prove that if , and 2 are segma algebras over X, then nL, is a sigma algebra over X. (b) Is ), u> a sigma algebra over X? Prove your answer.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.2: Properties Of Group Elements
Problem 32E: Prove statement d of Theorem 3.9: If G is abelian, (xy)n=xnyn for all integers n.
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segma algebra
Q2.
(a) Prove that if E, and ,
are segma algebras over X,
then >,n), is a sigma algebra over X.
(b) Is >, U>, a sigma algebra over X? Prove your answer.
Transcribed Image Text:Q2. (a) Prove that if E, and , are segma algebras over X, then >,n), is a sigma algebra over X. (b) Is >, U>, a sigma algebra over X? Prove your answer.
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