Monday, 8 December 2014

elementary number theory - Uniqueness of modular multiplicative inverse

Googling for 'Uniqueness of modular multiplicative inverse' results in the following link very high on the result list(https://rniwa.com/2011-08-22/proof-uniqueness-of-multiplicative-inverse/).



I believe that the proof provided is wrong so I would like confirmation on that.




Also for a bit of discussion:



If this proof is actually wrong then reading up on such things on the internet is very inefficient. I am a beginner at number theory and that goes doubly for me as I consider such a proof to be correct at first glance and then I waste a lot of time trying to wrap my mind around an incorrect statement. How did the rest of you teach yourself a mathematical subject without such inefficiencies? I am self studying so internet is obviously the first thing I check for any deeper insight.

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