Florentin Smarandache, Editor, Memet Sahin, Editor
2019
The Neutrosophic Triplets were introduced by F. Smarandache & M. Ali in 2014 - 2016, and consequently the neutrosophic triplet group, ring, field – in general the neutrosophic triplet structures; while the Neutrosophic Extended Triplets were introduced by F. Smarandache in 2016 and consequently the neutrosophic extended triplet structures. A neutrosophic extended triplet is a neutrosophic triplet, where the neutral of x {denoted by e-neut(x) and called "extended neutral"} is allowed to also be equal to the classical algebraic unitary element (if any). Therefore, the restriction "different from the classical algebraic unitary element if any" is released. As a consequence, the "extended opposite" of x, denoted by e-anti(x), is also allowed to be equal to the classical inverse element from a classical group.
Read this work at the World Public Library (library card needed).