On the saturations of submodules

• Datum: 2018
• Hauptverfasser: Paudel, Lokendra, Tchamna, Simplice
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: saturation; star operation; ring extension; 13A15; 13A18; 13B02
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/361
• Назва журналу: Algebra and Discrete Mathematics

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...