The objective of this study is to initiate the theory of fuzzy p-ideals in Z-algebras and inspect some of their properties. The Z-homomorphic and Cartesian product of fuzzy p-ideals of a Z-algebra are provided. Eventually, characterizations of Noetherian Z-algebras and Artinian Z-algebras via fuzzy p-ideals in Z-algebras are also acquired.

Z-algebra, p-ideal, Z-homomorphism, level p-ideals, fuzzy p-ideals, Cartesian product of Z-algebras.

Received: February 21, 2021; Accepted: March 5, 2021; Published: March 8, 2021

How to cite this article: Sowmiya and P. Jeyalakshmi, On fuzzy p-ideals in Z-algebras, Advances in Fuzzy Sets and Systems 26(1) (2021), 41-48. DOI: 10.17654/FS026010041

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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