Bull. Korean Math. Soc. 2007 Vol. 44, No. 1, 87-94 Printed March 1, 2007
Seo Un Hwang, Young Cheol Jeon, and Kwang Sug Park Pusan National University, Korea Science Academy, Pusan National University
Abstract : We in this note introduce the concept of g-IFP rings which is a generalization of IFP rings. We show that from any IFP ring there can be constructed a right g-IFP ring but not IFP. We also study the basic properties of right g-IFP rings, constructing suitable examples to the situations raised naturally in the process.
Keywords : g-IFP ring, IFP ring, annihilator, 2-primal ring