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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Bibliographic Details
Date:2018
Main Authors: Paudel, Lokendra, Tchamna, Simplice
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/361
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics