Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 10.54216/GJSMA https://www.americaspg.com/journals/show/1377 2022 2022 On the Conditions of Imperfect Neutrosophic Duplets and Imperfect Neutrosophic Triplets Department Of Mathematics, Gaziantep University, Gaziantep, Turkey Hamiyet Merkepci Islamic University Of Gaza, Department Of Mathematics, Palestine Katy D. Ahmad In any neutrosophic ring R(I), an imperfect neutrosophic duplet consists of two elements x,y with a condition xy=yx=x and an imperfect neutrosophic triplet consists of three elements x,y,z with condition xy=yx=x,yz=zy=z,and xz=zx=y. The objective of this paper is to determine the necessary and sufficient conditions for neutrosophic duplets and triplets in any neutrosophic ring R(I), and to determine all triplets in Z(I). 2022 2022 08 13 10.54216/GJMSA.020201 https://www.americaspg.com/articleinfo/33/show/1377