Suppose that F is a field of order 125 and F* =<&> . Show that  &62=-1

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.1: Ideals And Quotient Rings
Problem 16E: Prove that if R is a field, then R has no nontrivial ideals.
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Suppose that F is a field of order 125 and F* =<&> . Show that  &62=-1

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