Study of a division-like property
R. Khanfir, B.F. Seguin, Journal of Algebra and Its Applications (2024).
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Khanfir, Robin;
Seguin, Beranger FabriceLibreCat
Abstract
We study a weak divisibility property for noncommutative rings: a nontrivial ring is fadelian if for all nonzero a and x there exist b, c such that x=ab+ca. We prove properties of fadelian rings and construct examples thereof which are not division rings, as well as non-Noetherian and non-Ore examples.
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Journal of Algebra and Its Applications
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Khanfir R, Seguin BF. Study of a division-like property. Journal of Algebra and Its Applications. Published online 2024. doi:10.1142/s0219498825502214
Khanfir, R., & Seguin, B. F. (2024). Study of a division-like property. Journal of Algebra and Its Applications. https://doi.org/10.1142/s0219498825502214
@article{Khanfir_Seguin_2024, title={Study of a division-like property}, DOI={10.1142/s0219498825502214}, journal={Journal of Algebra and Its Applications}, publisher={World Scientific Pub Co Pte Ltd}, author={Khanfir, Robin and Seguin, Beranger Fabrice}, year={2024} }
Khanfir, Robin, and Beranger Fabrice Seguin. “Study of a Division-like Property.” Journal of Algebra and Its Applications, 2024. https://doi.org/10.1142/s0219498825502214.
R. Khanfir and B. F. Seguin, “Study of a division-like property,” Journal of Algebra and Its Applications, 2024, doi: 10.1142/s0219498825502214.
Khanfir, Robin, and Beranger Fabrice Seguin. “Study of a Division-like Property.” Journal of Algebra and Its Applications, World Scientific Pub Co Pte Ltd, 2024, doi:10.1142/s0219498825502214.
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