On Homomorphism Theorem for Perfect Neutrosophic Extended Triplet Groups

Some homomorphism theorems of neutrosophic extended triplet group (NETG) are proved in the paper [Fundamental homomorphism theorems for neutrosophic extended triplet groups, Symmetry 2018, 10(8), 321; doi:10.3390/sym10080321]. These results are revised in this paper. First, several counterexamples a...

Full description

Bibliographic Details
Main Authors: Xiaohong Zhang, Xiaoyan Mao, Florentin Smarandache, Choonkil Park
Format: Article
Language:English
Published: MDPI AG 2018-09-01
Series:Information
Subjects:
Online Access:http://www.mdpi.com/2078-2489/9/9/237
Description
Summary:Some homomorphism theorems of neutrosophic extended triplet group (NETG) are proved in the paper [Fundamental homomorphism theorems for neutrosophic extended triplet groups, Symmetry 2018, 10(8), 321; doi:10.3390/sym10080321]. These results are revised in this paper. First, several counterexamples are given to show that some results in the above paper are not true. Second, two new notions of normal NT-subgroup and complete normal NT-subgroup in neutrosophic extended triplet groups are introduced, and their properties are investigated. Third, a new concept of perfect neutrosophic extended triplet group is proposed, and the basic homomorphism theorem of perfect neutrosophic extended triplet groups is established.
ISSN:2078-2489