Let A be a ring with elements with characteristic p , prime, , and a polynom of degree ireductibile over .If have a solution then A is field .
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Originally Posted by petter Let A be a ring with elements with characteristic p , prime, , and a polynom of degree ireductibile over .If have a solution then A is field . i'll suppose that the ring is unitary. since the map is an embedding of into let be the image of under the natural homomorphism now let where define the map by: it's easily seen that is a ring monomorphism. thus is an isomorphism because
Last edited by NonCommAlg; Jan 3rd 2009 at 01:06 AM.
Can u give me a elementary solution please ?
Originally Posted by petter Can u give me a elementary solution please ? well, there's nothing advanced about your problem and my solution. so ...
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