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Research Article | Open Access

Some aspects in Noetherian modules and rings

Nasr Anwer Zeyada1,2( ), Makkiah S. Makki3
Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt
Department of Mathematics, College of Science, University of Jeddah, Jeddah 23218, Saudi Arabia
Department of Mathematical Sciences, Faculty of Applied Sciences, Umm Alqura University, Makkah 21955, Saudi Arabia
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Abstract

Many authors have focused on the concept of Noetherian rings. M. Kosan and T. Quynh recently published an article on the Noetherian ring's new properties and their relation to the direct sum of injective hulls of simple right modules and essential extensions. Throughout this article, we extend the results of M. Kosan and T. Quynh to simple singular right modules and strongly singular injectivity.

Keywords

Noetherian ringsingular modules
CLC number: 16D50, 16L30, 16L60, 16P20

References

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AIMS Mathematics
Volume 7 Issue 9,
September 2022
Pages 17019-17025
DOI: 10.3934/math.2022935

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Cite this article:
Zeyada NA, Makki MS. Some aspects in Noetherian modules and rings. AIMS Mathematics, 2022, 7(9): 17019-17025. https://doi.org/10.3934/math.2022935

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Received: 04 May 2022
Revised: 26 June 2022
Accepted: 30 June 2022
Published: 15 September 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)