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arXiv · 2409.03972

The Schr\"{o}der-Bernstein problem for relative injective modules

Xiaolei Zhang
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Abstract

Let $(K,M)$ be a pair satisfying some mild condition, where $K$ is a class of $R$-modules and $M$ is a class of $R$-homomorphisms. We show that if $f:A\rightarrow B$ and $g:B\rightarrow A$ are $M$-embeddings and $A,B$ are $K_M$-injective, then $A$ is isomorphic to $B$, positively answering an question proposed by Marcos and Jiri [6].

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Xiaolei Zhang. 2024-09-06. The Schr\"{o}der-Bernstein problem for relative injective modules. https://arxiv.org/abs/2409.03972

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