@article{T`em´ıt´o.p´e. Gb´o. l´ah`an Jaiy´eo_K´e.h`ınd´e Adam Ol´urˇod`e_Benard Osoba_2021, title={Some Neutrosophic Triplet Subgroup Properties and Homomorphism Theorems in Singular Weak Commutative Neutrosophic Extended Triplet Group}, volume={45}, url={https://fs.unm.edu/nss8/index.php/111/article/view/4125}, abstractNote={In 2018, the study of neutrosophic triplet cosets and neutrosophic triplet quotient group of a neutrosophic extended triplet group was initiated with a follow up of the establishment of fundamental homomorphismtheorems for neutrosophic extended triplet group. But some lapses in these earlier results were identified andrevised through the introduction of special kind of weak commutative neutrosophic extended triplet group(WCNETG) called perfect neutrosophic extended triplet group. Furthermore, neutro-homomorphism basictheorem has been established for commutative neutrosophic extended triplet group. In this current work, thegeneralization and extention of the above results was done by investigating neutro-homomorphism in singularWCNETG. This was achieved with the introduction and study of some new types of NT-subgroups that areright (left) cancellative, semi-strong, and maximally normal in a singular WCNETG. For any given non-emptysubset S and NT-subgroup H of a singular WCNETG X, some of these new NT-subgroups were shown to existas non-empty neutrosophic triplet normalizer, generated subset and centralizer of S, closure of H, derived subsetof X and center of X. With these, the first, second and third neutro-isomorphism and neutro-correspondencetheorems were established. This finally led to the proof of the neutro-Zassenhaus Lemma (Neutro-ButterflyTheorem).&nbsp;}, journal={Neutrosophic Sets and Systems}, author={T`em´ıt´o.p´e. Gb´o. l´ah`an Jaiy´eo and K´e.h`ınd´e Adam Ol´urˇod`e and Benard Osoba}, year={2021}, month={Oct.}, pages={459–487} }