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Artinian ring and amalgamated algebra along an ideal

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Abstract

Let R and S be two commutative rings with unity, let I be an ideal of S and \(\varphi : R \longrightarrow S\) be a ring homomorphism. In this paper, we give a characterization for the the amalgamated algebra \(R \bowtie ^\varphi I\) to be an Artinian ring.

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Acknowledgements

The author is very grateful to the referee for several suggestions and comments that greatly improved the paper.

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  1. Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Farhangian, Tehran, Iran

    Ali Molkhasi

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  1. Ali Molkhasi
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Correspondence to Ali Molkhasi.

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Molkhasi, A. Artinian ring and amalgamated algebra along an ideal. Ricerche mat 69, 207–213 (2020). https://doi.org/10.1007/s11587-019-00458-8

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  • DOI: https://doi.org/10.1007/s11587-019-00458-8

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