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arXiv · 2501.06696

nil-$M$-Noetherian and nil-$M$-Artinian modules

Faranak Farshadifar
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Abstract

Let R be a commutative ring with identity and M be an R- module. The aim of this paper is to introduce and investigate the notions of nil-M-Noetherian and nil-M-Artinian modules as generalizations of Noetherian and Artinian modules. Also, in this regard we introduce nil versions of some algebraic concepts.

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Faranak Farshadifar. 2025-06-03. nil-$M$-Noetherian and nil-$M$-Artinian modules. https://arxiv.org/abs/2501.06696

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