30. Suppose that there is an integer n > 1 such that x" = x for all ele- ments x of some ring. If m is a positive integer and a" = 0 for some a, show that a = 0.
30. Suppose that there is an integer n > 1 such that x" = x for all ele- ments x of some ring. If m is a positive integer and a" = 0 for some a, show that a = 0.
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 31E: 31. Prove statement of Theorem : for all integers and .
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Can someone please help me understand the following problem. I need to know how to start the problem. i need to know the theorems ,identities, used please thank you.
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