I need to find an injective module $B$ and a submodule $A$ of $B$ such that $B/A$ not injective.
2026-03-27 01:42:29.1774575749
A question about injective modules
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Let the ring be $R = k[x]/x^2$ where $k$ is a field of characteristic $2$. Then $B = R$ is injective but if $A = (x)$ then $B/A \simeq k$ is not an injective $R$-module.