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Power Serieswise Armendariz Property in Amalgamated Algebra

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Abstract

Let \(f:A\rightarrow B\) be a ring homomorphism, and let J be an ideal of B. In this paper, we investigate the transfer of the property of power serieswise Armendariz to the amalgamation \(A\bowtie ^{f}J\). We provide necessary and sufficient conditions for \(A\bowtie ^{f}J\) to be a power serieswise Armendariz ring.

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Acknowledgements

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

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Authors and Affiliations

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

    Mounir El Ouarrachi & Najib Mahdou

Authors
  1. Mounir El Ouarrachi
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  2. Najib Mahdou
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Correspondence to Najib Mahdou.

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Communicated by Rahim Zaare-Nahandi.

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El Ouarrachi, M., Mahdou, N. Power Serieswise Armendariz Property in Amalgamated Algebra. Bull. Iran. Math. Soc. 45, 23–33 (2019). https://doi.org/10.1007/s41980-018-0117-7

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  • DOI: https://doi.org/10.1007/s41980-018-0117-7

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