Fermatean Neutrosophic INK-algebras
DOI:
https://doi.org/10.29020/nybg.ejpam.v17i2.5090Keywords:
INK Algebra , Fermatean neutrosophic set , Fermatean Neutrosophic INK Algebra, product of fermatean neutrosophic INK ideal, Fermatean Neutrosophic INK idealAbstract
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.
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