@article{Fermatean Neutrosophic INK-algebras_2024, place={Maryland, USA}, volume={17}, url={https://ejpam.com/index.php/ejpam/article/view/5090}, DOI={10.29020/nybg.ejpam.v17i2.5090}, abstractNote={This paper introduces the concept of the direct product of sets that involve Fermatean neutrosophic elements in structures called INK-algebras. It defines terms like the direct product of Fermatean neutrosophic INK-ideals in INK-algebras and Fermatean neutrosophic sets (FNSs), Fermatean neutrosophic INK-ideals (FNINK-Is), and Fermatean neutrosophic closed INK-ideals (FNCINK-Is). The proof of theorems illustrating the relationships between these ideas is included in the paper. It also defines the INK-sub algebra embedded in an INK-algebra and gives a theorem elucidating the connection between the direct product of Fermatean neutrosophic INK-ideals and the images of these sub-algebras. In essence, the paper investigates and establishes connections between different mathematical ideas concerning INK-algebras and FNSs.}, number={2}, journal={European Journal of Pure and Applied Mathematics}, year={2024}, month={Apr.}, pages={1113–1128} }