On the saturations of submodules
Let \(R\subseteq S\) be a ring extension, and let \(A\) be an \(R\)-submodule of \(S\). The saturation of \(A\) (in \(S\)) by \(\tau\) is set \(A_{[\tau] }= \left\{x\in S : tx\in A \text{ for some } t\in \tau\right\}\), where \(\tau\) is a multiplicative subset of \(R\). We study properties of satu...
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| Date: | 2018 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/361 |
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| Journal Title: | Algebra and Discrete Mathematics |