Exercise 9.6. Let R be a commutative ring with characteristic p, where p is a prime number. Show that (a+b)² = a + b², Va, bЄ R.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.3: The Characteristic Of A Ring
Problem 10E: Let R be a commutative ring with characteristic 2. Show that each of the following is true for all...
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Exercise 9.6. Let R be a commutative ring with characteristic p, where p is a prime number.
Show that
(a+b)² = a + b², Va, bЄ R.
Transcribed Image Text:Exercise 9.6. Let R be a commutative ring with characteristic p, where p is a prime number. Show that (a+b)² = a + b², Va, bЄ R.
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