Let K be an extension of F. Suppose that E1 and E2 are contained in K and are extensions of F. If [E1:F] and [E2:F] are both prime, show that E1 = E2 or E1 ? E2 = F.

# Let K be an extension of F. Suppose that E1 and E2 are

## Problem 15E Chapter 21

Contemporary Abstract Algebra | 8th Edition

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Contemporary Abstract Algebra | 8th Edition

Get Full SolutionsThis textbook survival guide was created for the textbook: Contemporary Abstract Algebra , edition: 8th. Contemporary Abstract Algebra was written by Sieva Kozinsky and is associated to the ISBN: 9781133599708. The full step-by-step solution to problem: 15E from chapter: 21 was answered by Sieva Kozinsky, our top Math solution expert on 07/25/17, 05:55AM. This full solution covers the following key subjects: both, contained, extension, extensions, let. This expansive textbook survival guide covers 34 chapters, and 2038 solutions. Since the solution to 15E from 21 chapter was answered, more than 229 students have viewed the full step-by-step answer. The answer to “Let K be an extension of F. Suppose that E1 and E2 are contained in K and are extensions of F. If [E1:F] and [E2:F] are both prime, show that E1 = E2 or E1 ? E2 = F.” is broken down into a number of easy to follow steps, and 39 words.