A generalization of insertion-of-factors-property

Seo Un Hwang; Young Cheol Jeon; Kwang Sug Park

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Bull. Korean Math. Soc. 2007; 44(1): 87-94

Printed March 1, 2007

A generalization of insertion-of-factors-property

Seo Un Hwang, Young Cheol Jeon, and Kwang Sug Park

Pusan National University, Korea Science Academy, Pusan National University

Abstract

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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

MSC numbers: 16D25, 16N40