A STUDY ON POLYNOMIAL TERNARY SEMI RING

Algebraic structures play a prominent role in mathematics with wide ranging applications in many disciplines such as theoretical physics, computer sciences, control engineering, information sciences, coding theory, topological spaces, and the like. The theory of ternary algebraic systems was introduced by D. H. Lehmer [2]. He investigated certain ternary algebraic systems called triplexes which turn out to be commutative ternary groups. D. Madhusudhana Rao[3] characterized the primary ideals in ternary semigroups. About T. K. Dutta and S. Kar [1] introduced and studied some properties of ternary semirings which is a generalization of ternary rings. Our main purpose in this paper is to introduce the notion of some special class of ternary semirings.