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A 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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Can we find a commutative ring $๐ $ with unity such that there exist two ideals $A, B\subseteq R$ such that $A\cap B=0$ and $๐ด_๐ $ is NOT pseudo-$๐ต_๐ $-injective?Let $R=\mathbb Z[x,y]/(x^2,xy,y^2)$, let...
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