On Refined Neutrosophic Finite p-Group

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Journal of Fuzzy Extension and Applications 4 (2023)
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Abstract

The neutrosophic automorphisms of a neutrosophic groups G (I) , denoted by Aut(G (I)) is a neu-trosophic group under the usual mapping composition. It is a permutation of G (I) which is also a neutrosophic homomorphism. Moreover, suppose that X1 = X(G (I)) is the neutrosophic group of inner neutrosophic auto-morphisms of a neutrosophic group G (I) and Xn the neutrosophic group of inner neutrosophic automorphisms of Xn-1. In this paper, we show that if any neutrosophic group of the sequence G (I), X1, X2, … is the identity, then G (I) is nilpotent.

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Florentin Smarandache
University of New Mexico

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On Refined Neutrosophic Algebraic Structures.A. A. A. Agboola - 2015 - Neutrosophic Sets and Systems 10:99-101.

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