Published January 1, 2022 | Version v1
Publication Open

On nonnil-coherent modules and nonnil-Noetherian modules

Creators

  • 1. Sidi Mohamed Ben Abdellah University
  • 2. Hoseo University

Description

Abstract In this article, we introduce two new classes of modules over a ϕ \phi -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, ϕ \phi -coherent rings, and nonnil-coherent rings in the amalgamated algebra along an ideal.

⚠️ This is an automatic machine translation with an accuracy of 90-95%

Translated Description (Arabic)

نبذة مختصرة في هذه المقالة، نقدم فئتين جديدتين من الوحدات على شكل حلقة\ phi التي تعمم فصول الوحدات المتماسكة ووحدات Noetherian. ندرس بعد ذلك النقل المحتمل لخصائص الحلقات غير الأثيرية الصفرية، والحلقات المتماسكة، والحلقات غير المتماسكة في الجبر المدمج على طول المثل الأعلى.

Translated Description (French)

Résumé Dans cet article, nous introduisons deux nouvelles classes de modules sur un ϕ \phi -ring qui généralisent les classes de modules cohérents et de modules noéthériens. Nous étudions ensuite le transfert possible des propriétés d'être des cycles nonnil-Noetherian, des cycles ϕ \phi -coherent et des cycles nonnil-coherent dans l'algèbre amalgamée le long d'un idéal.

Translated Description (Spanish)

Resumen En este artículo, presentamos dos nuevas clases de módulos sobre un anillo ϕ \phi que generalizan las clases de módulos coherentes y módulos noetherianos. A continuación, estudiamos la posible transferencia de las propiedades de ser anillos nonnil-Noetherian, anillos ϕ \phi -coherentes y anillos nonnil-coherentes en el álgebra amalgamada a lo largo de un ideal.

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Additional details

Additional titles

Translated title (Arabic)
في الوحدات غير المترابطة صفريًا والوحدات غير المترابطة صفريًا نويثيريان
Translated title (French)
Sur les modules non cohérents avec le néant et les modules non éthériens avec le néant
Translated title (Spanish)
En módulos no nulos coherentes y módulos no nulos noetherianos

Identifiers

Other
https://openalex.org/W4312603144
DOI
10.1515/math-2022-0526

Is supplement to
https://openalex.org/W4388945398 (Other)
https://openalex.org/W4382363823 (Other)
https://openalex.org/W4294619441 (Other)
https://openalex.org/W4229958170 (Other)
https://openalex.org/W398802819 (Other)
https://openalex.org/W2752505051 (Other)
https://openalex.org/W2378181580 (Other)
https://openalex.org/W2286804045 (Other)
https://openalex.org/W2015816444 (Other)
https://openalex.org/W1560254119 (Other)

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Morocco

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