On nonnil-coherent modules and nonnil-Noetherian modules-Reference-Cited by-同舟云学术

On nonnil-coherent modules and nonnil-Noetherian modules

Published:2022-01-01 Issue:1 Volume:20 Page:1521-1537
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Haddaoui Younes El¹,Kim Hwankoo²,Mahdou Najib¹

Affiliation:

1. Department of Mathematics, Modelling and Mathematical Structures Laboratory, Faculty of Science and Technology of Fez , Box 2202 , University S.M. Ben Abdellah , Fez , Morocco

2. Division of Computer Engineering, Hoseo University , Asan , Republic of Korea

Abstract

Abstract In this article, we introduce two new classes of modules over a

\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,

\phi

-coherent rings, and nonnil-coherent rings in the amalgamated algebra along an ideal.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2022-0526/pdf

Reference23 articles.

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2. M. Tamekkante, K. Louartiti, and M. Chhiti, Chain conditions in amalgamated algebras along an ideal, Arab. J. Math. 2 (2013), no. 4, 403–408, https://doi.org/10.1007/s40065-013-0075-0.

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4. W. Qi and X. Zhang, Some remarks on nonnil-coherent rings and ϕ-IF rings, J. Algebra Appl. 21 (2022), no. 11, 2250211, https://doi.org/10.1142/S0219498822502115.

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