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Communications in Algebra Volume 49, 2021 - Issue 5
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Research Article

The divided, going-down, and Gaussian properties of amalgamation of rings

Najib Mahdoua Modelling and Mathematical Structures Laboratory, Department of Mathematics, Faculty of Science and Technology of Fez, Fez, MoroccoCorrespondence[email protected]
,
Sanae Moussaouia Modelling and Mathematical Structures Laboratory, Department of Mathematics, Faculty of Science and Technology of Fez, Fez, Morocco
&
Siamak Yassemib School of Mathematics, Statistics and Computer Science, College of Science, University of Tehran, Tehran, IranThe authors dedicated this work to the beloved Professor Abdelmoujib Benkirane
Pages 1938-1949 | Received 28 May 2020, Accepted 23 Nov 2020, Published online: 25 Dec 2020
 
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Abstract

We provide necessary and sufficient conditions for the amalgamation of rings A⋈fJ to be a divided ring, locally divided ring, going-down ring, and Gaussian ring.

2010 MATHEMATICS SUBJECT CLASSIFICATION:

Acknowledgements

The authors would like to express their sincere thanks for the referee for his/her helpful suggestions and comments.

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