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Analytical article presents results on seminoetherian and sufficiently noetherian rings, indicating their interrelations.
The purpose of this article is to present the results of the study conducted by [1] within a noncommutative context. That is, we study left seminoetherian rings and left sufficiently noetherian rings. We give examples of these two types of rings that no satisfy the respective condition on the other side. We also show that the class of left sufficiently noetherian modules is the natural class generated by noetherian modules.
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Anaya-Palacios et al. (2026) studied this question.
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