Advanced Algebra plays a key role in mathematics both in theory and application. Advanced Algebra is characterized by its emphasis on the systematic investigation of abstract algebraic structures. In the year 2003, myself and my respected teacher Prof. T. K. Dutta have introduced the notion of 'Ternary Semiring' which is a new abstract algebraic structure. The introduction of 'Ternary Semiring' gives a new horizon in the field of Advanced Algebra. The new algebraic structure 'Ternary Semiring' may give different direction in the field of research of Advanced Algebra and enrich Pure Mathematics as a whole. So I hope that continuation of further study of 'Ternary Semiring' may explore the solution of many interesting problems which will play a pivotal role both in theory and application in the future research of Pure Mathematics.