Let (R, +, ) be a ring with the property that a2 = a a = a for every a R.(a) Prove that
Chapter 14, Problem 14.7(choose chapter or problem)
Let (R, +, ) be a ring with the property that a2 = a a = a for every a R.(a) Prove that every element in R is its own additive inverse, that is, prove that a = afor every a R. [Hint: Consider (a + a)2.](b) Prove that R is a commutative ring. [Hint: Consider (a + b)2.]
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