aspg-24-959-1791482501 20261008180141 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group Journal of Neutrosophic and Fuzzy Systems JNFS 2771-6430 2771-6449 2021 1 2 Katy D. Ahmad Islamic University Of Gaza, Palestine Mikail Bal Gaziantep University, Turkey Malath Aswad Malath Aswad, Albaath university, Syria This paper is dedicated to study the concept of Fermat's triples in rings. Also, it determines the possible Fermat's triples in the neutrosophic ring of integers Z(I). Also, it discussed these triples in several finite commutative rings such as Zn. style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:major-bidi;mso-bidi-language:AR-SY;font-style:italic; mso-bidi-font-style:normal'> style='mso-bidi-font-style:normal'> 115%;font-family:"Cambria Math",serif;mso-fareast-font-family:Calibri; mso-fareast-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:major-bidi;mso-ansi-language:EN-US;mso-fareast-language: EN-US;mso-bidi-language:AR-SY'>Z style='mso-bidi-font-style:normal'> 115%;font-family:"Cambria Math",serif;mso-fareast-font-family:Calibri; mso-fareast-theme-font:minor-latin;mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:major-bidi;mso-ansi-language:EN-US;mso-fareast-language: EN-US;mso-bidi-language:AR-SY'>n 2021 55 60 959 https://creativecommons.org/licenses/by/4.0/ 10.54216/JNFS.010201 https://www.americaspg.com/journal/24/article/959 https://www.americaspg.com/storage/1167.pdf