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Answer by Keith Kearnes for A commutative ring with unity which does not have...
Can we find a commutative ring $𝑅$ with unity such that there exist two ideals $A, B\subseteq R$ such that $A\cap B=0$ and $𝐴_𝑅$ is NOT pseudo-$𝐵_𝑅$-injective?Let $R=\mathbb Z[x,y]/(x^2,xy,y^2)$, let...
View ArticleA commutative ring with unity which does not have relatively pseudo-injective...
Let $R$ be a ring with $1$ and $M$ and $N$ be any right $R$-modules. We say that $M$ is pseudo-$N$-injective if every $R$-monomorphism $f:X \to M$ from a submodule $X_R$ of $N_R$ can be extended to...
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