This paper reveals insights on almost noetherian rings and modules, highlighting significant theorems including Cohen and Hilbert basis types.
In this paper, we investigate the notions of almost Noetherian rings and modules. In details, we give the Cohen type theorem, Eakin-Nagata type theorem, Kaplansky type Theorem and Hilbert basis theorem and some other rings constructions for almost Noetherian rings. In particular, we resolve a question proposed in [8].
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Xiaolei Zhang (2025) studied this question.
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