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Nil-clean property in amalgamated algebras along an ideal

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Abstract

Let \(f: A \longrightarrow B\) be a ring homomorphism and let J be an ideal of B. In this paper, we give a characterization for the amalgamation of A with B along J with respect to f (denoted \(A \bowtie ^{f}J\)) to be nil-clean.

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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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Correspondence to Chahrazade Bakkari.

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Bakkari, C., Es-Saidi, M. Nil-clean property in amalgamated algebras along an ideal. Ann Univ Ferrara 65, 15–20 (2019). https://doi.org/10.1007/s11565-018-0304-8

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  • DOI: https://doi.org/10.1007/s11565-018-0304-8

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