MathGloss

Let $R$ be a ring and let $M$ be an $R$-module. A composition series for $M$ is a chain of submodules of $M$ $$M = F_0 \supset F_1 \supset \cdots \supset F_{n-1}\supset F_n =\{0\}$$ such that the quotient $F_i/F_{i+1}$ is simple for all $i$.

Wikidata ID: Q2525646

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