use the axioms for a ring to prove the following: for all x,y,z in a ring -1*x = -x I can pull through if I can use the fact that 1x = x ... although I am unsure if this is allowed or not. Any help is appreciated!
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Originally Posted by minivan15 use the axioms for a ring to prove the following: for all x,y,z in a ring -1*x = -x I can pull through if I can use the fact that 1x = x ... although I am unsure if this is allowed or not. Any help is appreciated! Since exists in a ring, we see that Does this make sense?
it does...although the axioms for a ring never state that 1x = x. Could you show me a proof of this? Other than that it is perfectly clear, thanks
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