AAR7

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(Dis)prove: Let R\, be a commutative ring with more than one element. If for every nonzero element a\, of R\,, we have aR=R\,, then R\, is a field.

aR=R\implies ab=1\, for some b\isin R, b\ne 0\implies R\, is a field.


Main Page : Absract Algebra : Rings

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