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Some remarks on $S$-Noetherian modules

UDC 512.5 We study several properties and applications of the $S$-Noetherian rings and modules.&nbsp;It is proved that an $S$-Artinian ring is $S$-Noetherian provided that $S$ contains no zero divisors of the module.&nbsp;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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