F-SEMIPRIME IDEALS IN Γ-SEMIRINGS

摘要

The purpose of this paper is to introduce the notion of general type of semiprime ideals, called F-semiprime ideals, in I'-semirings by using the notion of F-regularity. We also obtain various relationships between F-semiprime ideals of a restricted class of Γ-semirings and that of its operator semirings which are found to encompass the similar results on semiprime ideals of a Γ-semiring.