The Schröder-Bernstein problem for relative injective modules
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929498101907456 |
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| author | Zhang, Xiaolei |
| author_facet | Zhang, Xiaolei |
| contents | 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]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_03972 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Schröder-Bernstein problem for relative injective modules Zhang, Xiaolei Rings and Algebras 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]. |
| title | The Schröder-Bernstein problem for relative injective modules |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2409.03972 |