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单词 ProofOfNakayamasLemma
释义

proof of Nakayama’s lemma


(This proof was taken from [1].)

If M were not zero, it would have a simple quotient, isomorphic to R/𝔪 for some maximal idealMathworldPlanetmath 𝔪 of R. Then we would have 𝔪MM, so that 𝔞MM as 𝔞𝔪.

References

  • 1 Serre, J.-P. Local Algebra. Springer-Verlag, 2000.
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