Prime Quasi-Ideals in Ternary Seminear Rings

Objectives/Background: The ternary seminear ring is the generalization of and it need not be a semiring. Characterization quotient rings some structures have been analysed also studied ideals in rings. Further quasi defined discussed about their properties. Methods: Properties semiring employed to carry out this research work obtain all characterizations corresponding that Findings: We call an algebraic structure (T;+; :) if (T,+) Semigroup, T semigroup under multiplication xy(z+u) = xyx+xyu for x;y; z;u 2 T. said absorbing zero there exists element 0 such x+0 0+x x xy0 x0y 0xy x;y Throughout paper will always stand with zero. In we try study prime concept Novelty: study, define notion Prime find interesting results. AMS Subject Classification code: 16Y30,16Y99,17A40 Keywords: Ternary ring; Idempotent Ideals Quasi