Some remarks on $S$-Noetherian modules

UDC 512.5 We study several properties and applications of the $S$-Noetherian rings and modules. It is proved that an $S$-Artinian ring is $S$-Noetherian provided that $S$ contains no zero divisors of the module. Furthermore, it is shown that associated primes exist in modul...

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Bibliographic Details
Date:2025
Main Authors: Ansari, Ajim Uddin, Maurya, Sanjeev Kumar, Sharma, B. K.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2025
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/7907
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal