I need the answer as soon as possible 30. Let B; be o-fields of subsets of 2 for i = 1, 2. Show that the o-field BVB2defined to be the smallest o-field containing both B1 and B2 is generatedby sets of the form B1 N B2 where B; e B; for i = 1, 2.

Answered: Image /qna-images/answer/7e443a51-45a7-4bda-aec4-f382e13baa49.jpg

30. Let B; be o-fields of subsets of 2 for i = 1, 2. Show that the o-field B1V B2 defined to be the smallest o-field containing both B1 and B2 is generated by sets of the form B1 n B2 where B; e B; for i = 1, 2.

30. Let B; be o-fields of subsets of 2 for i = 1, 2. Show that the o-field B1V B2 defined to be the smallest o-field containing both B1 and B2 is generated by sets of the form B1 n B2 where B; e B; for i = 1, 2.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter5: Rings, Integral Domains, And Fields

Section5.2: Integral Domains And Fields

Problem 22E: Prove that if R and S are fields, then the direct sum RS is not a field. [Type here][Type here]

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I need the answer as soon as possible

30. Let B; be o-fields of subsets of 2 for i = 1, 2. Show that the o-field BVB2
defined to be the smallest o-field containing both B1 and B2 is generated
by sets of the form B1 N B2 where B; e B; for i = 1, 2.

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