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On stable range one property and strongly \(\pi \)-regular rings

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Abstract

In this paper, we study a rings with stable range one property, strongly \(\pi \)-regular rings and rings satisfying \(\pi \)-regular one stable range property. We study those properties in commutative rings, and investigate their transfer to various contexts of constructions such as pullbacks, trivial ring extensions and amalgamation of rings. Our results provide new classes of commutative rings satisfying those properties.

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

    Rachida El Khalfaoui & Najib Mahdou

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  1. Rachida El Khalfaoui
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  2. Najib Mahdou
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Correspondence to Najib Mahdou.

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El Khalfaoui, R., Mahdou, N. On stable range one property and strongly \(\pi \)-regular rings. Afr. Mat. 31, 1047–1056 (2020). https://doi.org/10.1007/s13370-020-00779-0

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  • DOI: https://doi.org/10.1007/s13370-020-00779-0

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