Nakayama’s lemma

Let R be a commutative ring with 1. Let M be a finitely generatedMathworldPlanetmathPlanetmathPlanetmath R-module. If there exists an ideal 𝔞 of R contained in the Jacobson radicalMathworldPlanetmath and such that 𝔞M=M, then M=0.

Title Nakayama’s lemma
Canonical name NakayamasLemma
Date of creation 2013-03-22 13:07:41
Last modified on 2013-03-22 13:07:41
Owner n3o (216)
Last modified by n3o (216)
Numerical id 6
Author n3o (216)
Entry type Theorem
Classification msc 13C99