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Suites inertes dans les algèbres de Lie graduées. (“Autopsie d’un meurtre. II”). (French) Zbl 0655.55004
The paper under review rounds off a program started with the second author’s thesis about fifteen years ago, related to the module of D by N. It is then shown if M is a divisible R-module, N is a submodule of M, and $$X_ M$$ is a fuzzy divisible R-module, then the map $$X:\quad M/N\to [0,1]$$ given by $$X(m+N)=X'(1\otimes m+N')$$ determines a fuzzy R-module where $$M'=[1\otimes m| \quad m\in M\}\subseteq S^{-1}R\otimes M$$ for $$S=R-\{0\}$$ and $$X':\quad M'\to [0,1]$$ is given by $$X'(1\otimes m)=X(m+tor(M))$$.
Reviewer: J.-N.Mordeson

##### MSC:
 55P62 Rational homotopy theory 17B70 Graded Lie (super)algebras 55P15 Classification of homotopy type 17B55 Homological methods in Lie (super)algebras
##### Keywords:
Lie elements in universal enveloping algebra
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