{"citation":{"ama":"Khanfir R, Seguin BF. Study of a division-like property. <i>Journal of Algebra and Its Applications</i>. Published online 2024. doi:<a href=\"https://doi.org/10.1142/s0219498825502214\">10.1142/s0219498825502214</a>","chicago":"Khanfir, Robin, and Beranger Fabrice Seguin. “Study of a Division-like Property.” <i>Journal of Algebra and Its Applications</i>, 2024. <a href=\"https://doi.org/10.1142/s0219498825502214\">https://doi.org/10.1142/s0219498825502214</a>.","apa":"Khanfir, R., &#38; Seguin, B. F. (2024). Study of a division-like property. <i>Journal of Algebra and Its Applications</i>. <a href=\"https://doi.org/10.1142/s0219498825502214\">https://doi.org/10.1142/s0219498825502214</a>","short":"R. Khanfir, B.F. Seguin, Journal of Algebra and Its Applications (2024).","bibtex":"@article{Khanfir_Seguin_2024, title={Study of a division-like property}, DOI={<a href=\"https://doi.org/10.1142/s0219498825502214\">10.1142/s0219498825502214</a>}, journal={Journal of Algebra and Its Applications}, publisher={World Scientific Pub Co Pte Ltd}, author={Khanfir, Robin and Seguin, Beranger Fabrice}, year={2024} }","mla":"Khanfir, Robin, and Beranger Fabrice Seguin. “Study of a Division-like Property.” <i>Journal of Algebra and Its Applications</i>, World Scientific Pub Co Pte Ltd, 2024, doi:<a href=\"https://doi.org/10.1142/s0219498825502214\">10.1142/s0219498825502214</a>.","ieee":"R. Khanfir and B. F. Seguin, “Study of a division-like property,” <i>Journal of Algebra and Its Applications</i>, 2024, doi: <a href=\"https://doi.org/10.1142/s0219498825502214\">10.1142/s0219498825502214</a>."},"title":"Study of a division-like property","_id":"58182","year":"2024","main_file_link":[{"url":"https://beranger-seguin.fr/dmi/fadelian/fadrings.pdf"}],"user_id":"102487","publication":"Journal of Algebra and Its Applications","publisher":"World Scientific Pub Co Pte Ltd","author":[{"first_name":"Robin","last_name":"Khanfir","full_name":"Khanfir, Robin"},{"id":"102487","first_name":"Beranger Fabrice","last_name":"Seguin","full_name":"Seguin, Beranger Fabrice"}],"status":"public","doi":"10.1142/s0219498825502214","publication_status":"published","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"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."}],"date_created":"2025-01-15T10:59:30Z","date_updated":"2025-01-15T11:35:29Z","publication_identifier":{"issn":["0219-4988","1793-6829"]},"type":"journal_article"}