Radicals of Generalized Prime Ideals in Ternary Semigroups

Abstract

In this paper, the concepts of f-prime ideals and f-semiprime ideals on a ternary semigroup are considered as a generalization of pseudo prime ideals and pseudo semiprime ideals, respectively. Then such ideals introduced are used to describe left (respectively, right) f-primary ideals on a ternary semigroup.

Keywords

• ternary semigroup
• pseudo prime ideal
• good mapping
• f-prime ideal
• left f-primary decomposition
• 20n99
• 20m12
• 03e75