second isomorphism theorem for modules

1. Proposition

Let \(R\) be a ring and \(\mathrm{RMod}\) the category RMod Then for \(R\)-modules \(L \hookrightarrow M \hookrightarrow N\) there exists the canonical isomorphism

\begin{align*} (M/L)/(N,L) \cong (M,N) \end{align*}

2. Proof

Date: nil

Author: Anton Zakrewski

Created: 2024-10-13 So 15:51