Some remarks on $S$-Noetherian modules

• Datum: 2025
• Hauptverfasser: Ansari, Ajim Uddin, Maurya, Sanjeev Kumar, Sharma, B. K.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2025
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/7907
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...