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Abstract algebra proof involving prime numbers
ok so it is just a special case, so if p | a^n then the fact that p should divide one of the a_i means simply p|a, since every a_i is a. so from p |a^n implies p |a . so if p divides a we have that p(q) = a for some integer q. since we have an equation, i can raise both sides to the n...- christinamora
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- Forum: Calculus and Beyond Homework Help
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Abstract algebra proof involving prime numbers
The question states prove, If p is prime and p | a^n then p^n | a^n I am pretty sure I have i just may need someone to help clean it up. There are two relevant theorems i have for this. the first says p is prime if and if p has the property that if p | ab then p | a or p | b the...- christinamora
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- Abstract Abstract algebra Algebra Numbers Prime Prime numbers Proof
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- Forum: Calculus and Beyond Homework Help