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arXiv · 1504.03352

Absolutely Self Pure Modules

Mohanad Farhan Hamid
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Abstract

An $R$-module $M$ is called absolutely self pure if for any finitely generated left ideal of $R$ whose kernel is in the filter generated by the set of all left ideals $L$ of $R$ with $L \supseteq$ ann $(m)$ for some $m \in M$, any map from $L$ to $M$ is a restriction of a map $R \rightarrow M$. Certain properties of quasi injective and absolutely pure modules are extended to absolute self purity. Regular and left noetherian rings are characterized using this new concept.

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Mohanad Farhan Hamid. 2015-04-13. Absolutely Self Pure Modules. https://arxiv.org/abs/1504.03352

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