Research on a Class of Special Quasi TA-Neutrosophic Extended Triplet: TA-Groups

Abstract

Tarski associative groupoid (TA-groupoid) and Tarski associative neutrosophic extended triplet
groupoid (TA-NET-groupoid) are two interesting structures in non-associative algebra. In this paper, a new
concept of TA-group is proposed based on TA-groupoid, as a special quasi TA-Neutrosophic extended triplet, its
related properties are investigated and the relationship between TA-group and regular TA-groupoid is described
in more detail. Moreover, the decomposition theorem of inverse TA-groupoid is proved. Finally, some concrete
examples are provided to reveal that the relations among all kinds of TA-groupoids