On nonnil-coherent modules and nonnil-Noetherian modules

In this article, we introduce two new classes of modules over a -ring that generalize the classes of coherent modules and Noetherian modules. We next study the possible transfer of the properties of being nonnil-Noetherian rings, -coherent rings, and nonnil-coherent rings in the amalgamated algebra...

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Veröffentlicht in:	Open mathematics (Warsaw, Poland) Poland), 2022-11, Vol.20 (1), p.1521-1537
Hauptverfasser:	Haddaoui, Younes El, Kim, Hwankoo, Mahdou, Najib
Format:	Artikel
Sprache:	eng
Schlagworte:	13A15 13C05 13E15 13F05 Coherence coherent ring Modules nonnil-coherent module nonnil-coherent ring nonnil-Noetherian module nonnil-Noetherian ring Rings (mathematics) submodule ϕ-coherent ring ϕ-submodule
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Beschreibung
Zusammenfassung:	In this article, we introduce two new classes of modules over a -ring that generalize the classes of coherent modules and Noetherian modules. We next study the possible transfer of the properties of being nonnil-Noetherian rings, -coherent rings, and nonnil-coherent rings in the amalgamated algebra along an ideal.
ISSN:	2391-5455 2391-5455
DOI:	10.1515/math-2022-0526