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On graded trinil clean rings

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Abstract

In this article, we define a graded trinil clean ring graded by a group. The behavior of the property of being trinil clean is studied in ring constructions of graded group rings, graded matrix rings, and trivial ring extensions. Some sufficient conditions for these rings to be graded trinil clean are given.

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Acknowledgements

The authors are very grateful to the anonymous referee for their valuable suggestions and helpful comments which have helped to improve the presentation of the article.

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Author notes

  1. Hanan Choulli, Omar Kchit, Hakima Mouanis and Ismail Namrok are contributed equally to this work.

Authors and Affiliations

  1. Department of Mathematics, Mathematical Sciences and Applications Laboratory, P. O. Box 1796, Fez, Morocco

    Hanan Choulli, Omar Kchit, Hakima Mouanis & Ismail Namrok

Authors
  1. Hanan Choulli
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  2. Omar Kchit
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  3. Hakima Mouanis
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  4. Ismail Namrok
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The authors equally conceived of the study, participated in its design and coordination, drafted the manuscript, participated in the sequence alignment, and read and approved the final manuscript.

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Correspondence to Hanan Choulli.

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Choulli, H., Kchit, O., Mouanis, H. et al. On graded trinil clean rings. Ann Univ Ferrara 69, 473–482 (2023). https://doi.org/10.1007/s11565-022-00450-5

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  • DOI: https://doi.org/10.1007/s11565-022-00450-5

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